A164155 Number of binary strings of length n with equal numbers of 0001 and 0010 substrings

1, 2, 4, 8, 14, 26, 48, 91, 169, 318, 598, 1136, 2156, 4113, 7859, 15081, 28991, 55889, 107939, 208945, 405147, 786992, 1530944, 2982544, 5817828, 11362161, 22213975, 43474281, 85160187, 166960485, 327590795, 643232760, 1263858598, 2484867793

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: A164156 A257934 A258000 * A164167 A164169 A164166

Adjacent sequences: A164152 A164153 A164154 * A164156 A164157 A164158

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved