A107015 Number of even terms in Zeckendorf representation of n.

0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 3, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0

Offset

1,10

Comments

a(n) = A007895(n) - A107016(n).

a(A107228(n)) = 0. - Reinhard Zumkeller, May 15 2005

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Zeckendorf Representation

Example

n = 77 = 55+21+1 -> a(77) = #{} = 0;
n = 88 = 55+21+8+3+1 -> a(88) = #{8} = 1;
n = 99 = 89+8+2 -> a(99) = #{2, 8} = 2.

Prog

(Haskell)
a107015 = length . filter even . a035516_row
-- Reinhard Zumkeller, Mar 10 2013

Crossrefs

Cf. A000045.

Cf. A107224, A107225, A107226.

Cf. A035516.

Sequence in context: A143809 A056559 A117200 * A015374 A164058 A328712

Adjacent sequences: A107012 A107013 A107014 * A107016 A107017 A107018

Keyword

nonn

Author

Reinhard Zumkeller, May 09 2005

Status

approved