A164140 Number of binary strings of length n with equal numbers of 000 and 101 substrings.

1, 2, 4, 6, 9, 13, 21, 36, 63, 114, 211, 394, 743, 1413, 2699, 5176, 9965, 19237, 37221, 72178, 140223, 272843, 531675, 1037408, 2026537, 3962996, 7757437, 15198402, 29801165, 58478791, 114833209, 225641444, 443643111, 872758866, 1717846987

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: A241546 A280918 A081225 * A205883 A253108 A198201

Adjacent sequences: A164137 A164138 A164139 * A164141 A164142 A164143

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved