A107911 -id:A107911

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A107909

Numbers having no consecutive zeros or no consecutive ones in binary representation.

+10
11

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 40, 41, 42, 43, 45, 46, 47, 53, 54, 55, 58, 59, 61, 62, 63, 64, 65, 66, 68, 69, 72, 73, 74, 80, 81, 82, 84, 85, 86, 87, 90, 91, 93, 94, 95, 106, 107, 109, 110, 111

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Union of A003754 and A003714, complement of A107911;

a(A023548(n+2)) = A052940(n+1) for n>0;

a(A001924(n)) = A000225(n) = 2^n - 1;

a(A000126(n)) = A000079(n) = 2^n for n>0;

A107910(n) = a(n+1) - a(n).

LINKS

Ivan Neretin, Table of n, a(n) for n = 0..10000

J. M. Dusel, Balanced parabolic quotients and branching rules for Demazure crystals, 2014.