Fibonacci sequence

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382,699,285,659,014,174,244,530,850,035,136,059,033,084,785

619,220,451,666,590,135,228,675,387,863,297,874,269,396,512

1,001,919,737,325,604,309,473,206,237,898,433,933,302,481,297

1,621,140,188,992,194,444,701,881,625,761,731,807,571,877,809

2,623,059,926,317,798,754,175,087,863,660,165,740,874,359,106

4,244,200,115,309,993,198,876,969,489,421,897,548,446,236,915

6,867,260,041,627,791,953,052,057,353,082,063,289,320,596,021

11,111,460,156,937,785,151,929,026,842,503,960,837,766,832,936

17,978,720,198,565,577,104,981,084,195,586,024,127,087,428,957

29090180355503362256910111038089984964854261893

The Fibonacci sequence is very interesting. Fun fact, the number of spirals of a pine cone will always be a Fibonacci number, the sequence appears in nature quite a lot. Also let x_n be the Fibonacci sequence at the n-th term. Well lim x_n+1/x_n=ϕ the golden ratio.

Let's observe this fact:

29090180355503362256910111038089984964854261893/(17,978,720,198,565,577,104,981,084,195,586,024,127,087,428,957)=1.6180339887498948 which is really close to the golden ratio.

47,068,900,554,068,939,361,891,195,233,676,009,091,941,690,850

76,159,080,909,572,301,618,801,306,271,765,994,056,795,952,743

47,068,900,554,068,939,361,891,195,233,676,009,091,941,690,850 + 76,159,080,909,572,301,618,801,306,271,765,994,056,795,952,743 = 47,068,900,554,068,939,361,891,195,233,676,009,091,941,690,850,76,159,080,909,572,301,618,801,306,271,765,994,056,795,952,743

Yay I win .

123,227,981,463,641,240,980,692,501,505,442,003,148,737,643,593

199,387,062,373,213,542,599,493,807,777,207,997,205,533,596,336

322,615,043,836,854,783,580,186,309,282,650,000,354,271,239,929