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 A164707 A positive integer n is included if all runs of 1's in binary n are of the same length. 5
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 24, 27, 28, 30, 31, 32, 33, 34, 36, 37, 40, 41, 42, 48, 51, 54, 56, 60, 62, 63, 64, 65, 66, 68, 69, 72, 73, 74, 80, 81, 82, 84, 85, 96, 99, 102, 108, 112, 119, 120, 124, 126, 127, 128, 129, 130, 132, 133, 136 (list; graph; refs; listen; history; text; internal format)
 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. This sequence contains in part positive integers that each contain one run of 1's. For those members of this sequence each with at least two runs of 1's, see A164709. LINKS Ivan Neretin, Table of n, a(n) for n = 1..10000 MAPLE isA164707 := proc(n) local bdg, arl, lset ; bdg := convert(n, base, 2) ; lset := {} ; arl := -1 ; for p from 1 to nops(bdg) do if op(p, bdg) = 1 then if p = 1 then arl := 1 ; else arl := arl+1 ; end if; else if arl > 0 then lset := lset union {arl} ; end if; arl := 0 ; end if; end do ; if arl > 0 then lset := lset union {arl} ; end if; return (nops(lset) <= 1 ); end proc: for n from 1 to 300 do if isA164707(n) then printf("%d, ", n) ; end if; end do; # R. J. Mathar, Feb 27 2010 MATHEMATICA Select[Range@ 140, SameQ @@ Map[Length, Select[Split@ IntegerDigits[#, 2], First@ # == 1 &]] &] (* Michael De Vlieger, Aug 20 2017 *) PROG (Perl) foreach(1..140){     %runs=();     \$runs{\$_}++ foreach split /0+/, sprintf("%b", \$_);     print "\$_, " if 1==keys(%runs); } # Ivan Neretin, Nov 09 2015 CROSSREFS Cf. A164708, A164709, A164710. Sequence in context: A045779 A235028 A062014 * A057890 A161604 A125121 Adjacent sequences:  A164704 A164705 A164706 * A164708 A164709 A164710 KEYWORD base,nonn AUTHOR Leroy Quet, Aug 23 2009 EXTENSIONS Extended beyond 42 by R. J. Mathar, Feb 27 2010 STATUS approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)