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A164173 Number of binary strings of length n with equal numbers of 0010 and 1101 substrings 1
1, 2, 4, 8, 14, 24, 40, 66, 110, 188, 334, 616, 1172, 2274, 4458, 8766, 17220, 33728, 65854, 128258, 249442, 484968, 943446, 1837620, 3584900, 7005162, 13710046, 26869130, 52718224, 103529290, 203460640, 400085312, 787119046, 1549247596 (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: A118544 A222037 A019274 * A164162 A164402 A164165

Adjacent sequences:  A164170 A164171 A164172 * A164174 A164175 A164176

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 11 2009

STATUS

approved

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Last modified September 17 10:52 EDT 2019. Contains 327129 sequences. (Running on oeis4.)