A377167 Nonnegative integers containing isolated zeros in their binary representation.

0, 2, 5, 6, 10, 11, 13, 14, 18, 20, 21, 22, 23, 26, 27, 29, 30, 34, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 50, 52, 53, 54, 55, 58, 59, 61, 62, 66, 69, 70, 74, 75, 77, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 98, 101, 102, 104, 105, 106

Offset

1,2

Comments

A 0 is isolated if it's not adjacent to another 0.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Formula

{ k : k=0 or 2k+1 in {A004748} }.

Example

18 is a term because 18 = 10010_2 contains one isolated 0.
85 is a term because all zeros in 85 = 1010101_2 are isolated.

Mathematica

Select[Range[0, 150], MemberQ[Split[IntegerDigits[#, 2]], {0}] &]

Crossrefs

Complement of A175054.

Cf. A004748, A007088, A377169.

Sequence in context: A109150 A004202 A013647 * A255068 A183987 A187840

Adjacent sequences: A377164 A377165 A377166 * A377168 A377169 A377170

Keyword

nonn,base,easy

Author

Paolo Xausa, Oct 18 2024

Status

approved