A107228 -id:A107228 - cp's OEIS frontend

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

Reinhard Zumkeller, May 09 2005

nonn

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

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

			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.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Zeckendorf Representation

Cf. A000045.
Cf. A107224, A107225, A107226.
Cf. A035516.

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

A107227 Numbers having no odd terms in their Zeckendorf representation.

Original entry on oeis.org

2, 8, 10, 34, 36, 42, 44, 144, 146, 152, 154, 178, 180, 186, 188, 610, 612, 618, 620, 644, 646, 652, 654, 754, 756, 762, 764, 788, 790, 796, 798, 2584, 2586, 2592, 2594, 2618, 2620, 2626, 2628, 2728, 2730, 2736, 2738, 2762, 2764, 2770, 2772, 3194, 3196, 3202

Offset: 1

Reinhard Zumkeller, May 15 2005

nonn

A107016(a(n))=0, A107015(a(n))>0; subsequence of A107225.

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Zeckendorf Representation

Cf. A107228.

Cf. A035516, A014437, A014445, A011655.

a107227 n = a107227_list !! (n-1)
a107227_list = filter ((all even) . a035516_row) [1..]
-- Reinhard Zumkeller, Mar 10 2013

cp's OEIS Frontend

A107015 Number of even terms in Zeckendorf representation of n.

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