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

Author

Paolo Xausa, Oct 18 2024

Keywords

• nonn
• base
• easy

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Complement of A175054.

Cf. A004748, A007088, A377169.

Programs

Mathematica

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

Formula

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