A164149 Number of binary strings of length n with equal numbers of 0000 and 0011 substrings.

1, 2, 4, 8, 14, 25, 46, 83, 151, 278, 510, 940, 1744, 3242, 6051, 11346, 21341, 40285, 76326, 145065, 276573, 528901, 1014219, 1949950, 3758249, 7259903, 14053760, 27258744, 52966596, 103091048, 200958322, 392285713, 766762495, 1500497739

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000 (first 501 terms from R. H. Hardin)

Shalosh B. Ekhad and Doron Zeilberger, Automatic Solution of Richard Stanley's Amer. Math. Monthly Problem #11610 and ANY Problem of That Type, arXiv preprint arXiv:1112.6207, 2011. See subpages for rigorous derivations of g.f., recurrence, asymptotics for this sequence. [From N. J. A. Sloane, Apr 07 2012]

Crossrefs

Sequence in context: A164401 A164387 A164150 * A164148 A065492 A298880

Adjacent sequences: A164146 A164147 A164148 * A164150 A164151 A164152

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved