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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 21 08:03 EDT 2021. Contains 343146 sequences. (Running on oeis4.)