A164713 A positive integer n is included if all runs of 0's in binary n are of the same length, and if all runs of 1's in binary n are of the same length.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 21, 24, 27, 28, 30, 31, 32, 33, 36, 42, 48, 51, 54, 56, 60, 62, 63, 64, 65, 73, 85, 96, 99, 112, 119, 120, 124, 126, 127, 128, 129, 136, 170, 192, 195, 204, 219, 224, 231, 238, 240, 248, 252, 254, 255, 256, 257, 273

Offset

1,2

Comments

Clarification: A binary number consists of "runs" completely of 1's alternating with runs completely of 0's. No two or more runs all of the same digit are adjacent.

The length of each run of 1's may be different that the length of each run of 0's.

This sequence contains those positive integers in both sequence A164707 and sequence A164710.

For those integers in this sequence that each have at least two runs of 0's and at least two runs of 1's, see sequence A164714.

Links

Table of n, a(n) for n=1..63.

Crossrefs

A164707, A164710, A164714

Sequence in context: A129523 A243463 A247805 * A343185 A070331 A080672

Adjacent sequences: A164710 A164711 A164712 * A164714 A164715 A164716

Keyword

base,nonn

Author

Leroy Quet, Aug 23 2009

Extensions

More terms from Sean A. Irvine, Sep 28 2009

Status

approved