A277018 Numbers n for which A277017(n) = 0; range of A277022 sorted into ascending order.

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, 60, 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

Offset

0,3

Comments

Numbers such that no run of 1-bits has length >= A000040(1 + the total number of 0-bits anywhere right of that run in the binary expansion of n).

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 primorial base

Formula

Other identitities:

A129251(A005940(1+a(n))) = 0 for all n.

Example

60 ("111100" in binary, A007088) is present as 4 < prime(2+1) = 5.

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A277018 (ZERO-POS 0 0 A277017))

Crossrefs

Complement: A277019.

Positions of zeros in A277017.

Sequence A277022 sorted into ascending order.

Cf. A000040, A005940, A007088, A129251.

Differs from its subsequence of A277008 for the first time at n=41, where a(41)=60, a value which is missing from A277008.

Sequence in context: A172276 A260483 A143028 * A277008 A354912 A091529

Adjacent sequences: A277015 A277016 A277017 * A277019 A277020 A277021

Keyword

nonn,base

Author

Antti Karttunen, Sep 26 2016

Status

approved