A164150 Number of binary strings of length n with equal numbers of 0000 and 0101 substrings

1, 2, 4, 8, 14, 25, 45, 82, 149, 271, 498, 917, 1691, 3139, 5850, 10928, 20505, 38634, 72998, 138385, 263272, 502287, 960850, 1843234, 3544809, 6832244, 13197224, 25544126, 49532000, 96209710, 187176395, 364682314, 711469670, 1389763015

Offset

0,2

Links

R. H. Hardin, Table of n, a(n) for n=0..500

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: A164389 A164401 A164387 * A164149 A164148 A065492

Adjacent sequences: A164147 A164148 A164149 * A164151 A164152 A164153

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved