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

Author

Antti Karttunen, Sep 26 2016

Keywords

• nonn
• base

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.

Examples

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

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

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.

Formula

Other identitities:

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