What are my coincidences?

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28.4.2015 might be the best date for receiving F21, F42.2, F84.5 combo in the entire time of ICD-10.
28 is 21+7.
28 is divisible by 4 and the result is 7.
Digits from 28 and 4 sorted ascendingly form a geometrical sequence with the sum 21-7 (14).

12, 24, 48. Members of that sequence divided by sum of digits in them form a constant geometrical and arithmetical sequence with sum 12 and term 4:
12:(1+2)=12:3=4
24:(2+4)=24:6=4
48:(4+8)=48:12=4
Arithmetic mean of that sequence is of course 4.

12 and 4 is somewhat interesting pair of numbers:
(1+2)*4=3*4=12 (absolute value of 12 is, of course, 12)
(1-2)*4=(-1)*4=-4 (absolute value of -4 is 4)
(1*2)*4=2*4=8 (arithmetic mean of 12 and 4)
(1:2)*4=0,5*4=2
Sum of 12 and -4 is 8 and it is arithmetic mean of numbers 12 and 4.
Sum of absolute values of 12 and -4 is 16 and is the same as sum of 12 and 4.

21+42+84=147, 2+5=7 <147.7> from numbers in codes F84.5, F42.2, F21. 147 and 7 are divisible by 7.
147+7=154; 22+44+88=147
147-7=140; 20+40+80=140
147:7=21; 3+6+12=21
147*7=1029; 147+294+588=1029
147=21+42+84;
7=1+2+4;
(147+7):2=154:2=77; 11+22+44=77

2+1+4+2+8+4=21, 2+5=7 <21.7> from digits in codes F84.5, F42.2, F21. 21 and 7 are divisible by 7.
21+7=28; 4+8+16=28
21-7=14; 2+4+8=14
21:7=3; 1+1+1=3 (3 is not divisible by 7, sequence 1,1,1 can be formed from quotients of digits of numbers of geometrical sequences 11, 22, 44 or 22, 44, 88)
21*7=147;
21=3+6+12;
7=1, 2, 4;
(21+7):2=28:2=14; 2+4+8=14

15.05.2017 I experienced strange coincidence in a day hospital (Polish: oddział dzienny). It was noon. A person who "had classes" (Polish: miała zajęcia) with patients gave them magazines.
Probably before getting a magazine I thought about initials (first letters of name and surname), also of that person. Almost after thinking about that I got the magazine on which there were two words written at the cover, which words have significantly larger first letters than next letters.
These two letters were initials of the person who "led" (Polish: prowadziła) classes!
In addition, the number of letters in first of these words was the same as in her name (and last letter was also the same) and four first letters of second word were the same as in her surname.
I suppose that chance for a person from my country to meet these criteria in her name and surname are about 1:1000 000 (one to million)!

The sum of digits in the date 15.5.2017 is 21 (and in it are 7 meaningful digits (not counting 0 from the number meaning month, which can be omitted)) and the sum of numbers in the date is divisible by 21 (15+5+2017=2037, 2037=21*97).

6.12.2014, 13.12.2014, 20.12.2014 - numbers meaning day of month in these dates form an arithmetical sequence with common difference 7. There are three numbers in that sequence, difference between the largest number and the smallest is 14 (21-7).
If these three dates would be 7.12.2014, 14.12.2014, 21.12.2014, then coincidence with 3, 6, 9 might be weaker. Sum of digits in numbers meaning days would be 15, not 12, and sum of digits meaning day and month together would be 24, not 21. I think that 6.12.2014, 13.12.2014, 20.12.2014 are more coincident with 3, 6, 9 than with 21.7. 7.12.2014, 14.12.2014, 21.12.2014 appear to be more coincident with 21.7 than with 3, 6, 9. Number 39 starts with 3 and ends with 9 and has 6 as arithmetical mean of its digits, like "Tesla's arithmetical sequence" (TAS) - 3, 6, 9. 39 is the sum of 6, 13 and 20. 6 is one of members of 6, 13, 20 arithmetical sequence and it is also a member of TAS. Product of sum of numbers in 6, 13, 20 (39) and sum of digits in that numbers (12) is 468. Digits of number 468 form an arithmetical sequence which has sum of numbers 18 and 6 as middle member or arithmetical mean - like in TAS. Product of 42 and 15 is 630, the sum of digits is 9 and digits form an arithmetical sequence with common difference 3.

I think that 7.12.2014, 14.12.2014, 21.12.2014 would be more coincident in general than existing coincidence associated with 6.12.2014, 13.12.2014, 20.12.2014. 7, 14, 21 gives large coincidence with 21.7. But the coincidence with 13.11.2015 (the day on which I heard about Tesla's 3, 6, 9, probably first time in my life), where an arithmetical sequence associated with two last digits in the numbers of the date would disappear if three coincident dates would be 7.12.2014, 14.12.2014, 21.12.2014, also the date of grandfather's death would not be coincident in its two last digits meaning day, month and year when it would be 14.12.2014, not 13.12.2014. Biggest Tesla's coincidence in my life was associated with two last digits of the numbers meaning day, month and year in the date 18.12.2015. There are only two dates so coincident in 21st century (and any other century). Next so coincident date would be 15.12.2018. Chance for such a coincidence is about 1:18300.

Three arithmetical sequences with sum of numbers 39 and sum of digits 12 were coincident:
- 12, 13, 14 in the date of grandfather's death,
- 6, 13, 20 in the dates of deaths of three men (probably from the same locality) whose graves are side by side on one cementery [I probably thought about the word "tomb" a moment earlier and I found such a phrase in one of pages when I looked for translation of Polish phrase "obok siebie": Henry and I sleeping side by side like figures on tombs.]
- 11, 13, 15 - the date when I, probably listening or watching an audition on 84th channel of satellite TV, heard about Tesla's 3, 6, 9.

From common differences (CDs) of arithmetical sequences: 6, 13, 20 (CD 7); 11, 13, 15 (CD 2); 12, 13, 14 (CD 1) phrase "21 7" can be formed.

Sum of products of digits forming three sequences mentioned earlier is 39:
- 6*1*3*2*0=0
- 1*1*1*3*1*5=1*3*5=15
- 1*2*1*3*1*4=2*3*4=24
0+24+15=39.
39 is the sum of any of sequences mentioned earlier.

84, 42, 21 and the sequence formed by reading its backwards: 12, 24, 48 have interesting feature associated with results of division of its members by sum of digits in these members:
84:(8+4)=84:12=7
42:(4+2)=42:6=7
21:(2+1)=21:3=7
7+7+7=21. Sum of that constant geometrical and arithmetical sequence is 21, single member or arithmetical mean of the members of the sequence is 7. So we have 21 and 7.
12:(1+2)=12:3=4
24:(2+4)=24:6=4
48:(4+8)=48:12=4
4+4+4=12. Sum of that constant geometrical and arithmetical sequence is 12, single member or arithmetical mean of the members of the sequence is 4. So we have 12 and 4.
Both pairs of numbers (21 7 and 12 4) have arithmetical mean which is the product of digits forming that numbers:
(21+7):2=28:2=14, 2*1*7=14;
(12+4):2=16:2=8; 1*2*4=8.
In addition:
(2+1)*7=3*7=21;
(1+2)*4=3*4=12.
21 is 12 read backwards, 12 is 21 read backwards.

Half votes is for "effects of mere mathematical chance now". So many people think that I am not schizophrenic or even schizotypal? No delusions or even ideas of reference? Does anyone here experienced such amounts of coincidences?

Sum of 17 digits in 9 numbers forming 3 arithmetical sequences (ASes) is 36. 36 - number is composed from 3 and 6 and has sum of digits 9. It is also 6*6.
Sum of numbers in 3 ASes (each with sum of numbers 39) is 117 - this number has 3 digits, sum of digits 9 and arithmetical mean (AM) of digits 3.

Sum of products of digits in numbers forming 11, 13, 15 arithmetic sequence is 9:
(1*1)+(1*3)+(1*5)=1+3+5=9 (in addition products form an AS with AM 3).
Sum of products of digits in numbers forming 12, 13, 14 arithmetic sequence is 9:
(1*2)+(1*3)+(1*4)=2+3+4=9 (in addition products form an AS with AM 3).
Sum of six products of two three-membered ASes mentioned above is 18 (3+6+9).

6, 13, 20 - here the situation is more complicated. 6 is an one-digit number, so it do not have product of digits. If we leave 6 as 6 and make products of digits from two next numbers (13 and 20), an AS will be formed (descending one):
6+(1*3)+(2*0)=6+3+0=9 (sum again is 9, sum of products of numbers or one-digit number for the sequence 6, 13, 20 and sum of products of two ASes mentioned earlier is 9+9+9=27-3*3*3). CD of the sequence 6, 3, 0 is (-3).

If we write number 6 as two-digit combination 06, the product of digits in the sequence 06, 13, 20 would be 3:
(0*6)+(1*3)+(2*0)=0+3+0=3 (the sum of products of digits in numbers of the sequences: 06, 13, 20; 11, 13, 15; 12, 13, 14 is 3+9+9 -->21, there are 7 products which are not zeros).

The sequence 6, 13, 20 read backwards would be 02, 31, 6. If we treat 02 as 2, the sum of these three numbers will be 39! 39 is also the sum of sequence 06, 13, 20.
02+13+20=39, 06+13+20=39
In addition, the sum of sequence 06, 13, 20 read backwards is 93 (the same digits as in 39 (and the same AM of the sum of sequence read backwards as in the case of number 39), but read backwards!):
02+31+60=93. In addition, 02, 31, 60 is an AS (with CD 29).

Does the sequence 7, 14, 21 give some sort of similar phenomenon? Let's check:
7+14+21=42. 07, 14, 21 - backwards 12, 41, 70 - AS with CD 29 (the same as CD of 02, 31, 60). Products of digits in numbers forming 12, 41, 70 sorted ascendingly form an AS with CD 2:
(1*2)+(4*1)+(7*0)=2+4+0; 0, 2, 4 - an AS.
Let's read the sequence 7, 14, 21 backwards: 12, 41, 7. Sort ascendingly: 7, 12, 41. No AS or GS. Sum of three numbers is 60.
Let's sum numbers from the sequence 7, 14, 21. We receive 42. Let's sum the numbers in sequence 07, 14, 21 read backwards. 12+41+70=123. 123=60+63. Sum and product of digits forming number 123 is 6. Sum of digits in number 63 is 9 and product of digits forming that number is 18 (3+6+9). "Reference" to 3, 6, 9 is present in the case of 7, 14, 21, but is not so striking as "mirror numbers" 39 and 93 in the case of 06, 13, 20; 02, 31, 6 and 02, 31, 60.
So let's read the sequence 6, 13, 20 backwards: 02, 13, 6. Sort ascendingly: 2, 6, 13. No AS or GS. Sum 19.

ASes 11, 13, 15; 12, 13, 14 read backwards form another ASes - 51, 31, 11; 41, 31, 21. Sums of numbers in that ASes are 93.
"Original" ASes have sums of numbers 39.

In the case of ASes with three numbers and 14 as AM the phenomenon of "mirror numbers" as sum of numbers forming the sequences is not present:
10, 14, 18. Sum 42. Backwards: 81, 41, 01. Sum 123.
11, 14, 17. Sum 42. Backwards: 71, 41, 11. Sum 123.
12, 14, 16. Sum 42. Backwards: 61, 41, 21. Sum 123.
13, 14, 15. Sum 42. Backwards: 51, 41, 31. Sum 123.
14, 14, 14. Sum 42. Backwards: 41, 41, 41. Sum 123.
Difference between 123 and 42 is 81 (9*9, 3*3*3*3). Sum of digits in sums of three numbers forming such an AS is 6.

Today at 5:36 p.m. (in time zone which is in Poland) I typed in Google the word (X) which means female of certain animal in Polish language. At 5:38 p.m. I noticed the same word in first definition of certain word (Y) in one of Internet dictionaries. That certain word (Y) was English-like pronunciation of a Russian word. Word X has almost the same pronunciation and transliteration in Polish and Russian. Earlier after 5 p.m. I used Google translator for Russian text. Today I also typed word Z (very similar to Y, also a transliteration of Russian pronunciation) with the word russian together in Google andon the first page with result word X was present!

Yesterday (14.10.2018) about 11.30 p.m. I saw on YouTube encounter with big something which looks like fragment of certain region of body. It was described as Big (Something). Earlier I had fantasies about encounter with similar (larger region, which contains the part present in the encounter on YouTube) part of the body in very similar game and I "named" that enconter "Wielka (W)" ("Big (W)") (W is here the letter symbolizing certain word, like X, Y, Z earlier). These fantasies were present for example in job. That game in which the encounter seen on YouTube was present was... Russian. The game was bad and containing many dangerous content.

During encounter mentioned earlier there was text consisting of two letters repeated many times present on the screen. These two letters were two first letters of impolite word meaning that part of body in which something resembling big W is located!

In addition, there was certain thing, item (let's name it V) which could be found during that encounter. 18.10.2018 I typed "V w (fragment of that region of body)" ("V in the (fragment of that region of body)") in Google translator. There was translation from Polish to English. Next I typed a transliteration of Russian term meaning a creature from Russian game mentioned earlier in Google. There were 23 results. In the third link (its description) there was present Polish word for V. Next I found the English word for V in Polish page about something which was some form of English language. Next day, 19.10.2018, new coincidence with V happened. I thought about V from the Russian game in a large shop and few moments later I heard two "advertisements" of two certain Vs! Today, 21.10.2018, I noticed that two first letters of Polish term for V and three last letters of that term form a word which is a part of the Polish name of the monsters which I saw in Russian game 14.10.2018. Fight with that monsters was observed in next film or films with playing of that game after the film with "Big W" encounter.

22.10.2018 I had next coincidence with V. I was in the same shop as I was 19.10.2014 and I thought about V, some moments later (if I remember it well) I heard advertisement (or something similar) about two Vs. Big W encounter and V in it are associated with a film which I at least partly watched in adolescence, it was one of quite few films which I watched in TV.

Today I typed phrase "21 42" 84 in Google and second result was about one of my topics from a Polish forum. In addition, in fifth link there was the word "Autism".

I also saw results of image finding in Google for the word cats, second image in results has the appearance of a black cat and was a link to the page entitled "Nikola Tesla's Cat and Other Feline Fascinations". Black cat, Nikola Tesla, fascination - it is coincident for me. A person with nick fasci-nation in Polish AS forum wrote a comment on own blog (now not available) in which that person concluded that Tesla would be diagnosed with AS or OCD. I was diagnosed with AS and OCD and had coincidences associated with Tesla and fasci-nation and black cat. Tesla could be supposed to have schizotypal personality or schizophrenia, I had diagnoses of schizotypal disorder or schizophrenia in my life.

Coincidence about three arithmetical sequences with sum of numbers 39 and sum of digits 12 is quite large. Sequence: 6, 13, 20 has interesting property: sum of digits in two-digit numbers (13 and 20) is 6 (and 6 is only one-digit member in that sequence), in addition, digits of numbers 13 and 20 sorted ascendingly or descendingly will form four-membered arithmetical sequence: 0, 1, 2, 3.

There is also another interesting phenomenon associated with three sequences: 11, 13, 15; 12, 13, 14; 6, 13, 20 - sum of single digits which at least once occur in numbers forming that sequence is 21! And there are 7 such a digits which, more interestingly, form seven-membered arithmetical sequence! 0, 1, 2, 3, 4, 5, 6.

Yesterday and today I saw words Nikola Tesla's Cat and Other Feline Fascinati in Google. Today it was below third picture in results for phrase cats in Google. It was first picture with BLACK cat in search results.


A black cat, like this one, inspired Tesla's fascination with electricity. OLIVER MOGGRIDGE/EYEEM/GETTY IMAGES

Tesla, fascination, black cat!

There is a triad of coincident sequences:
- 12, 13, 14
- 11, 13, 15
- 6, 13, 20.
There are 3 arithmetical sequences. In these sequences are together 9 numbers. Sum of numbers in any of these sequences is 39 and sum of digits in these three sequences is 12 (3+9). Number 6 is a "misfit" among nine numbers mentioned earlier because it is one-digit number, not two-digit. The number of digits in two of these three sequences is 6 and in one of them there is 5 digits due to one-digit "misfit" - 6. The number of digits in these three sequences together is 17, not 18 (3+6+9) due to one-digit number 6.

Most coincident with Tesla's 3, 6, 9 date was 18.12.2015. Last two digits form numbers which sorted ascendingly form an arithmetic sequence - 12, 15, 18. Sums of digits in these 3 numbers are: 3, 6, 9!

Three coincident dates are associated with the cementery:
- 6.12.2014,
- 13.12.2014,
- 20.12.2014.

In above three dates there are together 7 digits 2 and 7 digits 1.
Sum of digits 2 in these three dates together is 14.
Sum of digits 1 in these three dates together is 7.
Sum of 14 digits mentioned above is 21.
The sum of digits 2 is two times larger than sum of digits 1. It was in 2014 year.
Number of digits 7 in the dates mentioned above is 0. It was in 2014 year.

Dates:
- 7.12.2014,
- 14.12.2014,
- 21.12.2014
do not give such a coincidence. Number of digits 1 in them together is 8, not 7 and sum of digits 2 and 1 together in these three dates together is 22, not 21; number of digits 2 and 1 together there is not 14 (((21+7):2) or (21-7)), but 15.

Sum of numbers 6, 13, 20 is 39 and sum of that numbers read backwards is also 39 (02+31+6, 02 is counted as 2, not as 0,2), although the sequence 6, 13, 20 is not palindromic or composed only by one-digit numbers.

Today I looked at last comments in certain dictionary. On the top of the page I found word (let's name iit U) which has the same first two letters as Polish name of V of some of my previous posts. In addition, fourth, fifth, sixth and seventh letters of U were the same as third, fourth, fifth and sixth letters of Polish name of V! Word U has nine letters, word V has seven letters.
In addition, on the page with recent comments in that dictionary I saw comment in entry "V" (literally, the comment was in entry named just V)! Comment for entry U was written about 9 p.m. 29.10.2018, comment for entry V (literally V) was written about 4 p.m. 29.10.2018. There were 10 comments between the two mentioned earlier.

From the digits in date 6.12.2014 a geometrical sequence with sum of numbers 21 can be formed: 1, 4, 16.
From the digits in date 6.12.2014 a geometrical sequence with sum of numbers 42 can be formed: 6, 12, 24.
Two arithmetical sequences with sum of numbers 42 can be formed from digits in 6.12.2014:
- 2, 14, 26;
- 6, 14, 22.

Constant arithmetic or geometric sequence 12, 12, 12 (formed by numbers meaning month in dates: 6.12.2014, 13.12.2014, 20.12.2014) has peculiar properties associated with 3, 6, 9:
1. There are 3 numbers in the sequence 12, 12, 12.
2. There are 6 digits in that sequence.
3. Sum of digits in that sequence is 9.
4. Sum of first digits in numbers forming sequence 12, 12, 12 is 3 (1+1+1).
5. Sum of second digits in numbers forming that sequence is 6 (2+2+2).
6. Sum of numbers in that sequence is 36.
36 is the number constructed from digits 3 and 6.
Sum of digits in 36 is 9.
36 = 6*6 = (3+6+9)+(3+6+9)
7. Product of first digits of numbers 12, 12, 12 is 1 (1*1*1) and product of second digits of these numbers is 8 (2*2*2).
When we write 1 and 8 next to each other, we will receive 18.
18 is 3+6+9.

In addition, quotients of numbers of 12, 12, 12 sequence and sums of digits forming that sequence form constant arithmetical and geometrical sequence with sum 12 and term (and arithmetical mean) 4:
12:(2+1) = 12:3 = 4
12:(2+1) = 12:3 = 4
12:(2+1) = 12:3 = 4
12.4 is a pair of numbers with somewhat interesting properties:
1. Numbers of 12.4 sorted ascendingly or descendingly form a geometric sequence with sum 7: 1, 2, 4.
2. From the phrase 12.4 number 21 can be formed (and also number 12).
3. From the phrase 12.4 number 42 can be formed (and also number 24).
4. From the digits of numbers 12 and 4 numbers 21 and 4 can be formed, product of 21 and 4 is 84.
5. (1+2)*4 = 3*4 = 12
6. (1-2)*4 = (-1)*4 = (-4) [absolute value of -4 is 4]
7. (1*2)*4 = 2*4 = 8 [product of digits forming phrase 12.4 is the same as arithmetic mean of numbers 12 and 4]

Today about 6:30 p.m. next comment in entry V in the dictionary mentioned in my previous post was written.

We have the constant sequence: 12, 12, 12.
Sum of digits in one of members in that sequence is 3.
Arithmetic mean of members of that sequence is, of course, 3.
Sum of products of first and second digits of numbers in 12, 12, 12 sequence is the same as sum of the digits in that sequence:
1*1*1 = 1
2*2*2 = 8
1+8 = 9
1+2+1+2+1+2 = 3+3+3 = 9
18 = 3+6+9

Let's look at the sequence 84, 42, 21. Let's divide numbers in that sequence by differences of digits in its terms:
84:(8-4) = 84:4 = 21
42:(4-2) = 42:2 =21
21:(2-1) = 21:1 = 21
We received constant geometrical or arimetrical sequence - 21, 21, 21.
Sum of first digits in the sequence 21, 21, 21 is 6 (2+2+2).
Sum of second digits in the sequence 21, 21, 21 is 3 (1+1+1).
Let's write sums of first and second digits next to each other: we receive number 63. Sum of digits in that number is the same as sum of numbers in 21, 21, 21 and it is 9.
Difference between arithmetical mean of 21, 21, 21 and arithmetical mean of 12, 12, 12 is 9.
Difference between the sum of numebrs in 21, 21, 21 and the sum of numbers in 12, 12, 12 is 27 (63-36). 27 is 3*3*3 = 3*9.
Sum of products of first and second digits of numbers in 21, 21, 21 sequence is the same as sum of the digits in that sequence:
2*2*2 = 8
1*1*1 = 1
8+1 = 9
2+1+2+1+2+1 = 3+3+3 = 9
81 = 9*9 = 3*3*3*3
Sequence 21, 21, 21 has 3 numbers and 6 digits.

Today I typed "11 24 37" "11 42 73" in Google. There were 7 results.
I typed also "11 24 37" "11 42 73" "17 24 31" "13 42 71" and found 2 results.
Every of four arithmetical sequences mentioned earlier has 3 terms and 6 digits together in these terms. Sums of digits in these sequences are 18 (3+6+9).
Sums of numbers in these sequences are 126 (21*6) or 72 ((3+6+9)*4).
These sequences written backwards form another arithmetical sequences (one of three different from original one).

I wrote about coincidences associated with these four arithmetical sequences 31.08.2018 here: viewtopic.php?f=20&t=359374&start=45#p8000045 Here is written about prime numbers which are fascinately associated with these four sequences.

In Google I found 2 results for the phrase "All extreme members of these four" which were associated with my posts.

I am interested if anyone else in history noticed that prime numbers-associated pattern in sequences: 11, 24, 37; 11, 42, 73; 17, 24, 31; 13, 42, 71.
Extreme members of these sequences are all prime numbers (11, 37, 73, 17, 31, 13, 71). In these prime numbers only three (21:7 = 3) sort of digits are present, they form a product which is 21 (1*3*7 = 21).
Common differences of four arithmetical sequences mentioned earlier are all prime numbers (13, 31, 7, 29).
It is interesting if there is any other group of arithmetical or geometrical sequences which has such a property.

It is not the end of prime number-associated phenomena. When we sort digits forming any of these four arithmetical sequences ascendingly and then form two-digit numbers, we will receive 11, 23, 47 - three prime numbers which sums of digits are another prime numbers. We can wrote next numbers in that sequence (which is not arithmetic or geometric), these numbers are 83, 131, 191, 263. They are also additive prime numbers. Amazing!

11, 42, 73; 13, 42, 71 and 33, 42, 51 are somewhat similar arithmetical sequences:
- all have 3 terms,
- all have 6 digits,
- all have the same sum of numbers (21*6 = 126, sum of digits in 126 is 9),
- all have the same sum of digits (18, 18 = 3+6+9, sum of digits in 18 is 9),
- all have the same sum of numbers in arithmetical sequences formed by reading "original" sequences backwards [37, 24, 11; 17, 24, 31 and 15, 24, 33 - sum of numbers in these sequences is 72, which is multiple of 18 (3+6+9), sum of digits in 72 is 9],
- first digits in these sequences form arithmetical sequences (1, 4, 7; 1, 4, 7; 3, 4, 5 - two of these triplets form number 147 (21*7) when written next to each other, sums of these sequences are 12),
- second digits in these sequences form arithmetical sequences (1, 2, 3; 3, 2, 1; 3, 2, 1 - sums of these triplets are 6).