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 A226765 #18 Feb 23 2025 07:05:37
%S A226765 9,0,9,8,3,0,0,5,6,2,5,0,5,2,5,7,5,8,9,7,7,0,6,5,8,2,8,1,7,1,8,0,9,4,
%T A226765 1,1,3,9,8,4,5,4,1,0,0,9,7,1,1,8,5,6,8,9,3,2,2,7,5,6,8,8,6,4,7,3,6,9,
%U A226765 7,6,8,5,9,0,5,4,8,7,7,5,1,4,6,3,9,6
%N A226765 Decimal expansion of (13-5*sqrt(5))/2.
%C A226765 (13 - 5*sqrt(5))/2 = lim_{n->oo} -F(n)+(2+F(n+1))*(1+F(n+2))/(3+F(n+3)), where F = A000045 (Fibonacci numbers).
%C A226765 Apart from leading digits the same as A187798 and A187426. - _R. J. Mathar_, Sep 21 2013
%H A226765 Clark Kimberling, <a href="/A226765/b226765.txt">Table of n, a(n) for n = 0..999</a>
%e A226765 (13-5*sqrt(5))/2 = 0.9098300562505257589770658281718094113985...
%t A226765 f[n_] := Fibonacci[n]; h[n_] := (2 + f[n + 1]) (1 + f[n + 2])/(3 + f[n + 3]); N[h[100] - f[100], 20]; d = RealDigits[(13 - 5*Sqrt[5])/2, 10, 120][[1]]
%Y A226765 Cf. A000045, A187426, A187798, A225667.
%K A226765 nonn,cons,easy
%O A226765 0,1
%A A226765 _Clark Kimberling_, Jul 21 2013