A213911 Number of runs of consecutive zeros in the Zeckendorf (binary) representation of n.

0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4

Offset

0,8

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Formula

a(n) = A104324(n) - A007895(n).

a(n) = A007895(n) - A003849(n). - Alexander Staunton, Jan 15 2025

Prog

(Haskell)
import Data.List (group)
a213911 = length . filter ((== 0) . head) . group . a213676_row

Crossrefs

Cf. A003849, A007895, A104324, A189920, A213676, A014417.

Sequence in context: A026465 A051486 A218541 * A081355 A223708 A060778

Adjacent sequences: A213908 A213909 A213910 * A213912 A213913 A213914

Keyword

nonn

Author

Reinhard Zumkeller, Mar 10 2013

Extensions

a(0)=0 added by N. J. A. Sloane, Jun 30 2017

Status

approved