A164169 Number of binary strings of length n with equal numbers of 0010 and 1001 substrings

1, 2, 4, 8, 14, 26, 50, 92, 174, 328, 616, 1170, 2220, 4228, 8088, 15492, 29770, 57340, 110646, 213986, 414552, 804446, 1563564, 3043248, 5931176, 11573836, 22609908, 44215692, 86550964, 169572144, 332504512, 652489836, 1281328038, 2517885220

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: A258000 A164155 A164167 * A164166 A164161 A068011

Adjacent sequences: A164166 A164167 A164168 * A164170 A164171 A164172

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved