login
Number of runs of consecutive zeros in the Zeckendorf (binary) representation of n.
6

%I #9 Jun 30 2017 11:55:10

%S 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,

%T 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,

%U 2,2,3,3,3,3,3,4,2,2,3,3,3,3,3,4,3,3,4

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

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

%H Reinhard Zumkeller, <a href="/A213911/b213911.txt">Table of n, a(n) for n = 0..10000</a>

%o (Haskell)

%o import Data.List (group)

%o a213911 = length . filter ((== 0) . head) . group . a213676_row

%Y Cf. A003849, A104324, A189920, A213676, A014417.

%K nonn

%O 0,8

%A _Reinhard Zumkeller_, Mar 10 2013

%E a(0)=0 added by _N. J. A. Sloane_, Jun 30 2017