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 A105566 #8 Feb 16 2025 08:32:57
%S A105566 0,1,2,2,3,4,5,5,6,7,8,9,9,10,11,12,13,13,14,15,16,16,17,18,19,20,20,
%T A105566 21,22,23,24,24,25,26,27,27,28,29,30,31,31,32,33,34,34,35,36,37,38,38,
%U A105566 39,40,41,42,42,43,44,45,45,46,47,48,49,49,50,51,52,53,53,54,55,56,56,57
%N A105566 Number of blocks of exactly 5 Fibonacci numbers having equal length <= n.
%C A105566 a(n) = Sum_{k=1..n} A105565(k); a(n) = n - A105564(n);
%C A105566 lim_{n->inf} a(n)/n = 1/log_10((1+sqrt(5))/2) - 4 = 0.784....
%D A105566 Juergen Spilker, Die Ziffern der Fibonacci-Zahlen, Elemente der Mathematik 58 (Birkhäuser 2003).
%H A105566 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FibonacciNumber.html">Fibonacci Number</a>
%Y A105566 Cf. A105564, A072353, A050815, A060384, A000045.
%K A105566 nonn
%O A105566 1,3
%A A105566 _Reinhard Zumkeller_, Apr 14 2005