A105564 Number of blocks of exactly 4 Fibonacci numbers having equal length <= n.

0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18

Offset: 1

Author

Reinhard Zumkeller, Apr 14 2005

Keywords

• nonn

Comments

Lim_{n->infinity} a(n)/n = 5 - 1/log_10((1+sqrt(5))/2) = 0.215....

a(n) = Sum_{k=1..n} A105563(k); a(n) = n - A105566(n).

References

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