A164167 Number of binary strings of length n with equal numbers of 0010 and 0101 substrings

1, 2, 4, 8, 14, 26, 49, 92, 174, 329, 621, 1175, 2230, 4244, 8094, 15461, 29581, 56697, 108870, 209425, 403516, 778677, 1504844, 2912356, 5644101, 10952539, 21280139, 41394755, 80612379, 157151994, 306673743, 599030493, 1171155740, 2291672544

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: A257934 A258000 A164155 * A164169 A164166 A164161

Adjacent sequences: A164164 A164165 A164166 * A164168 A164169 A164170

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved