A223909 -id:A223909 - cp's OEIS frontend

A223910 Numbers for which the maximal run of 1's in their binary representation contains even number of 1's.

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

Offset: 1

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Vladimir Shevelev, Mar 29 2013

nonn
base

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.

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

Cf. A223909, A000069, A001969.

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

cp's OEIS Frontend

A223910 Numbers for which the maximal run of 1's in their binary representation contains even number of 1's.

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