A164153 Number of binary strings of length n with equal numbers of 0000 and 1001 substrings

1, 2, 4, 8, 14, 25, 44, 77, 137, 245, 442, 802, 1467, 2701, 5007, 9337, 17514, 33025, 62580, 119107, 227609, 436522, 839915, 1620774, 3135715, 6080701, 11815887, 23002577, 44853764, 87590551, 171271524, 335292477, 657085575, 1288945073

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: A020956 A164393 A164391 * A212588 A164392 A164152

Adjacent sequences: A164150 A164151 A164152 * A164154 A164155 A164156

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved