A164138 Number of binary strings of length n with equal numbers of 000 and 010 substrings

1, 2, 4, 6, 9, 17, 31, 50, 87, 167, 302, 528, 992, 1907, 3518, 6539, 12645, 24327, 46006, 88361, 172240, 332882, 641385, 1249453, 2441841, 4748632, 9252605, 18128340, 35506424, 69433187, 136116163, 267424477, 525052400, 1030970356, 2027883854

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: A342340 A244470 A098787 * A320449 A263434 A192079

Adjacent sequences: A164135 A164136 A164137 * A164139 A164140 A164141

Keyword

nonn

Author

R. H. Hardin Aug 11 2009

Status

approved