A164162 Number of binary strings of length n with equal numbers of 0001 and 1001 substrings

1, 2, 4, 8, 14, 24, 40, 67, 114, 200, 364, 684, 1316, 2565, 5025, 9843, 19232, 37464, 72808, 141327, 274332, 533044, 1037436, 2022982, 3952284, 7734625, 15157799, 29737631, 58389819, 114721663, 225516727, 443516486, 872626728, 1717649820

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: A222037 A019274 A164173 * A164402 A164165 A164168

Adjacent sequences: A164159 A164160 A164161 * A164163 A164164 A164165

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved