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

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%I A213911 #16 Jan 16 2025 02:35:54
%S A213911 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 A213911 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 A213911 2,2,3,3,3,3,3,4,2,2,3,3,3,3,3,4,3,3,4
%N A213911 Number of runs of consecutive zeros in the Zeckendorf (binary) representation of n.
%H A213911 Reinhard Zumkeller, <a href="/A213911/b213911.txt">Table of n, a(n) for n = 0..10000</a>
%F A213911 a(n) = A104324(n) - A007895(n).
%F A213911 a(n) = A007895(n) - A003849(n). - _Alexander Staunton_, Jan 15 2025
%o A213911 (Haskell)
%o A213911 import Data.List (group)
%o A213911 a213911 = length . filter ((== 0) . head) . group . a213676_row
%Y A213911 Cf. A003849, A007895, A104324, A189920, A213676, A014417.
%K A213911 nonn
%O A213911 0,8
%A A213911 _Reinhard Zumkeller_, Mar 10 2013
%E A213911 a(0)=0 added by _N. J. A. Sloane_, Jun 30 2017