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 A107858 #29 Jul 20 2024 20:05:54 %S A107858 1,1,2,3,7,11,28,45,117,189,494,799,2091,3383,8856,14329,37513,60697, %T A107858 158906,257115,673135,1089155,2851444,4613733,12078909,19544085, %U A107858 51167078,82790071,216747219,350704367,918155952,1485607537,3889371025 %N A107858 a(n) = b(k), where b(k) = Fibonacci(n-1) and k = floor( n*(1+sqrt(5))/2 ). %C A107858 Limit_{n -> oo} a(n+1)/a(n) does not exist. %C A107858 Apparently the same as A107857. - _Georg Fischer_, Nov 02 2018 %t A107858 F[1] = 0; F[2] = 1; F[n__] := F[n] = F[n - 1] + F[n - 2] %t A107858 Table[F[ Floor[(Sqrt[5] + 1)*n/2]], {n, 1, 50}] (* F[n] are the Fibonacci numbers, A000045, with offset 1 *) %Y A107858 Cf. A000045, A107857, A185381. %K A107858 nonn %O A107858 1,3 %A A107858 _Roger L. Bagula_, Jun 12 2005 %E A107858 Edited by _N. J. A. Sloane_, May 06 2012