This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A128935 #12 Dec 04 2022 13:06:19 %S A128935 1,1,3001,475400918060101145703001, %T A128935 29642179764875707696452732234250095350341524541114277856812964100763567848899514572925690068090872073476146381237687662210078001 %N A128935 a(n) = Fibonacci(5^n) / 5^n. %C A128935 Numbers k such that k divides Fibonacci(k) are listed in A023172. %C A128935 All powers of 5 belong to A023172. %C A128935 5^n divides Fibonacci(5^n). %C A128935 a(n) == 1 (mod 1000). %C A128935 {a(n+1)/a(n)} = {1, 3001, 158414167964045700001, 62351961552434956321060201440347372028390478647963811251289490034177804212636326088548682319305439375001, ...}. %F A128935 a(n) = Fibonacci(5^n) / 5^n. %F A128935 a(n+1) = 5^(4*n+1)*a(n)^5 - 5^(2*n+1)*a(n)^3 + a(n) with a(0) = 1. - _Peter Bala_, Nov 24 2022 %p A128935 a := proc(n) option remember; if n = 0 then 1 else 5^(4*n-3)*a(n-1)^5 - 5^(2*n-1)*a(n-1)^3 + a(n-1) end if; end proc: seq(a(n), n = 0..5); # _Peter Bala_, Nov 24 2022 %t A128935 Table[ Fibonacci[ 5^n ] / 5^n, {n,0,4} ] %Y A128935 Cf. A023172, A121169, A121170, A058635, A045529. %K A128935 nonn,easy %O A128935 0,3 %A A128935 _Alexander Adamchuk_, May 11 2007