A164171 Number of binary strings of length n with equal numbers of 0010 and 1011 substrings

1, 2, 4, 8, 14, 24, 42, 74, 134, 246, 458, 856, 1608, 3030, 5742, 10936, 20940, 40250, 77618, 150020, 290568, 563812, 1095992, 2133964, 4161236, 8124978, 15882766, 31079356, 60872816, 119328840, 234106580, 459622576, 902996064, 1775186438

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: A164395 A164160 A164394 * A164159 A164172 A164164

Adjacent sequences: A164168 A164169 A164170 * A164172 A164173 A164174

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved