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 A164712 A positive integer n is included if all runs of 0's in binary n are of the same length, and if there are at least two runs of 0's. 3
 10, 21, 22, 26, 36, 42, 43, 45, 46, 53, 54, 58, 73, 76, 85, 86, 87, 90, 91, 93, 94, 100, 106, 107, 109, 110, 117, 118, 122, 136, 147, 153, 156, 170, 171, 173, 174, 175, 181, 182, 183, 186, 187, 189, 190, 201, 204, 213, 214, 215, 218, 219, 221, 222, 228, 234, 235 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 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. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE 100 is a term since its binary expansion "1100100" has two groups of zeros that are of the same length. - Michael De Vlieger, Nov 04 2017 MATHEMATICA brQ[n_]:=Module[{rz=Select[Split[IntegerDigits[n, 2]], MemberQ[#, 0]&]}, Length[ rz]>1 && Length[Union[Length/@rz]]==1]; Select[Range[250], brQ] (* Harvey P. Dale, Mar 23 2015 *) Select[Range[2^8], And[Length@ # > 1, Length@ Union@ # == 1] &@ Map[Length, Select[Split@ IntegerDigits[#, 2], First@ # == 0 &]] &] (* Michael De Vlieger, Nov 04 2017 *) CROSSREFS Cf. A164710. Sequence in context: A251128 A244539 A335236 * A336558 A338908 A226195 Adjacent sequences: A164709 A164710 A164711 * A164713 A164714 A164715 KEYWORD base,nonn AUTHOR Leroy Quet, Aug 23 2009 EXTENSIONS More terms from Sean A. Irvine, Sep 28 2009 STATUS approved

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)