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

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, 21, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 30, 31, 31, 32, 33, 34, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 49, 49, 50, 51, 52, 53, 53, 54, 55, 56, 56, 57

Offset: 1

Author

Reinhard Zumkeller, Apr 14 2005

Keywords

• nonn

Comments

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

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

References

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

Links

• Eric Weisstein's World of Mathematics, Fibonacci Number

Crossrefs

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