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

1,7

Comments

a(A000045(n)) = 0;

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

Links

Table of n, a(n) for n=1..91.

Eric Weisstein's World of Mathematics, Zeckendorf Representation

Eric Weisstein's World of Mathematics, Fibonacci Number

Example

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

Crossrefs

Cf. A007895.

Sequence in context: A284265 A119464 A214568 * A201076 A201079 A318601

Adjacent sequences: A107014 A107015 A107016 * A107018 A107019 A107020

Keyword

nonn

Author

Reinhard Zumkeller, May 09 2005

Status

approved