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A164140 Number of binary strings of length n with equal numbers of 000 and 101 substrings. 1
1, 2, 4, 6, 9, 13, 21, 36, 63, 114, 211, 394, 743, 1413, 2699, 5176, 9965, 19237, 37221, 72178, 140223, 272843, 531675, 1037408, 2026537, 3962996, 7757437, 15198402, 29801165, 58478791, 114833209, 225641444, 443643111, 872758866, 1717846987 (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: A241546 A280918 A081225 * A205883 A253108 A198201

Adjacent sequences:  A164137 A164138 A164139 * A164141 A164142 A164143

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 11 2009

STATUS

approved

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Last modified August 4 19:21 EDT 2020. Contains 336202 sequences. (Running on oeis4.)