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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
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: A370320 A280918 A081225 * A205883 A253108 A375109
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 11 2009
STATUS
approved