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A164162
Number of binary strings of length n with equal numbers of 0001 and 1001 substrings
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 11 2009
STATUS
approved