A164160 Number of binary strings of length n with equal numbers of 0001 and 0111 substrings.

1, 2, 4, 8, 14, 24, 42, 72, 126, 228, 420, 792, 1522, 2948, 5740, 11200, 21834, 42524, 82756, 160960, 313128, 609624, 1188180, 2318976, 4532442, 8870628, 17382264, 34096896, 66942960, 131526888, 258579828, 508638768, 1001004306, 1970877540

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: A164405 A164163 A164395 * A164394 A164171 A164159

Adjacent sequences: A164157 A164158 A164159 * A164161 A164162 A164163

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved