A164168 Number of binary strings of length n with equal numbers of 0010 and 0110 substrings.

1, 2, 4, 8, 14, 24, 40, 70, 126, 236, 444, 840, 1580, 2982, 5642, 10758, 20618, 39724, 76720, 148508, 287840, 558880, 1086816, 2117164, 4130292, 8068510, 15778730, 30887282, 60514526, 118658662, 232846542, 457252186, 898525282, 1766745540

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: A164162 A164402 A164165 * A182747 A164406 A178982

Adjacent sequences: A164165 A164166 A164167 * A164169 A164170 A164171

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved