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A105566 Number of blocks of exactly 5 Fibonacci numbers having equal length <= n. 3

%I #7 Feb 25 2018 22:55:28

%S 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 21,22,23,24,24,25,26,27,27,28,29,30,31,31,32,33,34,34,35,36,37,38,38,

%U 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 Number of blocks of exactly 5 Fibonacci numbers having equal length <= n.

%C a(n) = Sum_{k=1..n} A105565(k); a(n) = n - A105564(n);

%C lim_{n->inf} a(n)/n = 1/log_10((1+sqrt(5))/2) - 4 = 0.784....

%D Juergen Spilker, Die Ziffern der Fibonacci-Zahlen, Elemente der Mathematik 58 (Birkhäuser 2003).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FibonacciNumber.html">Fibonacci Number</a>

%Y Cf. A105564, A072353, A050815, A060384, A000045.

%K nonn

%O 1,3

%A _Reinhard Zumkeller_, Apr 14 2005

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)