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A223910 Numbers for which the maximal run of 1's in their binary representation contains even number of 1's. 1
0, 3, 6, 11, 12, 13, 15, 19, 22, 24, 25, 26, 27, 30, 35, 38, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 60, 61, 63, 67, 70, 75, 76, 77, 79, 83, 86, 88, 89, 90, 91, 94, 96, 97, 98, 99, 100, 101, 102, 104, 105, 106, 107, 108, 109, 111, 120, 121, 122, 123, 126 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

We call these numbers "maxevil". The sequence is complement to A223909.

If a(n) is in the sequence, then 2^k*a(n) is in the sequence. If a(n)==0 (mod 4) is in the sequence, then a(n)+1 is in the sequence. If a(n)==0 (mod 8) is in the sequence, then a(n)+1, a(n)+2 are in the sequence. If a(n)==0 (mod 16) is in the sequence, then numbers a(n)+i, i<=6, are in the sequence.

LINKS

Peter J. C. Moses, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Range[0, 200], EvenQ[Max[Map[Count[#, 1]&, Split[IntegerDigits[#, 2]]]]]&] (* Peter J. C. Moses, Mar 29 2013 *)

CROSSREFS

Cf. A223909, A000069, A001969.

Sequence in context: A256108 A028744 A028775 * A022155 A066157 A073159

Adjacent sequences:  A223907 A223908 A223909 * A223911 A223912 A223913

KEYWORD

nonn,base

AUTHOR

Vladimir Shevelev, Mar 29 2013

STATUS

approved

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Last modified May 26 01:22 EDT 2020. Contains 334613 sequences. (Running on oeis4.)