cp's OEIS Frontend

A277008 Numbers k such that in the binary expansion of k no run of 1-bits is longer than 1 + the total number of 0-bits anywhere to the right of that run.

%I A277008 #16 Aug 21 2025 18:50:41
%S A277008 0,1,2,4,5,6,8,9,10,12,13,16,17,18,20,21,22,24,25,26,28,32,33,34,36,
%T A277008 37,38,40,41,42,44,45,48,49,50,52,53,54,56,57,58,64,65,66,68,69,70,72,
%U A277008 73,74,76,77,80,81,82,84,85,86,88,89,90,92,96,97,98,100,101,102,104,105,106,108,109,112,113,114,116,117,118,120,128
%N A277008 Numbers k such that in the binary expansion of k no run of 1-bits is longer than 1 + the total number of 0-bits anywhere to the right of that run.
%C A277008 Numbers k for which A277007(k) = 0.
%C A277008 Indexing starts from zero as a(0) = 0 is a special case in this sequence.
%H A277008 Antti Karttunen, <a href="/A277008/b277008.txt">Table of n, a(n) for n = 0..10000</a>
%H A277008 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%H A277008 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%F A277008 Other identitities:
%F A277008 A276077(A005940(1+a(n))) = 0 for all n.
%o A277008 (Scheme)
%o A277008 ;; With _Antti Karttunen_'s IntSeq-library.
%o A277008 (define A277008 (ZERO-POS 0 0 A277007))
%Y A277008 Complement: A277009.
%Y A277008 Positions of zeros in A277007.
%Y A277008 Sequence A277012 sorted into ascending order.
%Y A277008 Cf. A005940, A276077, A276078.
%Y A277008 Subsequence of A277018 from which this differs for the first time at n=41, where a(41)=64, skipping the value 60 present in A277018.
%K A277008 nonn,base,changed
%O A277008 0,3
%A A277008 _Antti Karttunen_, Sep 25 2016