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.

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, 37, 38, 40, 41, 42, 44, 45, 48, 49, 50, 52, 53, 54, 56, 57, 58, 64, 65, 66, 68, 69, 70, 72, 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

Offset

0,3

Comments

Numbers k for which A277007(k) = 0.

Indexing starts from zero as a(0) = 0 is a special case in this sequence.

Links

Antti Karttunen, Table of n, a(n) for n = 0..10000

Index entries for sequences related to binary expansion of n

Index entries for sequences related to factorial base representation

Formula

Other identitities:

A276077(A005940(1+a(n))) = 0 for all n.

Prog

(Scheme)
;; With Antti Karttunen's IntSeq-library.
(define A277008 (ZERO-POS 0 0 A277007))

Crossrefs

Complement: A277009.

Positions of zeros in A277007.

Sequence A277012 sorted into ascending order.

Cf. A005940, A276077, A276078.

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.

Sequence in context: A260483 A143028 A277018 * A354912 A389514 A091529

Adjacent sequences: A277005 A277006 A277007 * A277009 A277010 A277011

Keyword

nonn,base

Author

Antti Karttunen, Sep 25 2016

Status

approved