A166111 A positive integer n is included if the longest contiguous run of similar digits in binary n is of 1's.

1, 2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 38, 39, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 71, 75, 76, 77, 78, 79, 83, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 100, 101, 102, 103, 105, 106, 107

Offset

1,2

Comments

For some n included in this sequence, it is possible that the longest run of 0's in binary n is of the same length as the longest run of 1's in binary n. (See sequence A090050.)

Links

Table of n, a(n) for n=1..69.

Mathematica

lcr1Q[n_]:=Module[{s=Split[IntegerDigits[n, 2]]}, Max[Length/@Select[s, MemberQ[ #, 1]&]] >= Max[Length/@Select[s, MemberQ[#, 0]&]]]; Select[ Range[ 120], lcr1Q] (* Harvey P. Dale, Feb 01 2019 *)

Crossrefs

Cf. A043276, A090050, A166110.

Sequence in context: A317092 A349019 A225354 * A004762 A061854 A367861

Adjacent sequences: A166108 A166109 A166110 * A166112 A166113 A166114

Keyword

base,nonn

Author

Leroy Quet, Oct 06 2009

Extensions

Extended by Ray Chandler, Mar 12 2010

Status

approved