A377167 -id:A377167 - cp's OEIS frontend

A175054 A positive integer n is included if there is no run of 0's in the binary representation of n that is only one digit long.

1, 3, 4, 7, 8, 9, 12, 15, 16, 17, 19, 24, 25, 28, 31, 32, 33, 35, 36, 39, 48, 49, 51, 56, 57, 60, 63, 64, 65, 67, 68, 71, 72, 73, 76, 79, 96, 97, 99, 100, 103, 112, 113, 115, 120, 121, 124, 127, 128, 129, 131, 132, 135, 136, 137, 140, 143, 144, 145, 147, 152, 153, 156

Offset: 1

Leroy Quet, Dec 08 2009

This sequence consists of the terms of A144794 together with those integers of the form 2^k -1.

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Cf. A144794.

Complement of A377167.

Select[Range@ 160, Select[Split@ IntegerDigits[#, 2], Length[#] == 1 && First[#] == 0 &] == {} &] (* Michael De Vlieger, Sep 03 2017 *)

Extended by Ray Chandler, Dec 18 2009

A377169 Nonnegative integers containing isolated ones in their binary representation.

Original entry on oeis.org

1, 2, 4, 5, 8, 9, 10, 11, 13, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 29, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 52, 53, 57, 58, 61, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87

Offset: 1

Paolo Xausa, Oct 18 2024

A 1 is isolated if it's not adjacent to another 1.

			19 is a term because 19 = 10011_2 contains one isolated 1.
74 is a term because all ones in 74 = 1001010_2 are isolated.

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

Complement of A144795.

Cf. A004752, A007088, A377167.

Select[Range[150], MemberQ[Split[IntegerDigits[#, 2]], {1}] &]

cp's OEIS Frontend

A175054 A positive integer n is included if there is no run of 0's in the binary representation of n that is only one digit long.

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