A107017 Second largest term in Zeckendorf representation of n, a(n)=0 if n itself is a Fibonacci number.

0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 3, 0, 1, 2, 3, 3, 5, 5, 5, 0, 1, 2, 3, 3, 5, 5, 5, 8, 8, 8, 8, 8, 0, 1, 2, 3, 3, 5, 5, 5, 8, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 0, 1, 2, 3, 3, 5, 5, 5, 8, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 0, 1, 2

Offset: 1

Author

Reinhard Zumkeller, May 09 2005

Keywords

• nonn

Comments

a(A000045(n)) = 0;

a(A000045(n) + k) = A087172(k) with 0 < k < A000045(n-1).

Examples

			n = 20 = 13+5+2: a(20) = 5.
		

Links

• Eric Weisstein's World of Mathematics, Zeckendorf Representation
• Eric Weisstein's World of Mathematics, Fibonacci Number

Crossrefs

Cf. A007895.