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A164168 Number of binary strings of length n with equal numbers of 0010 and 0110 substrings 1
1, 2, 4, 8, 14, 24, 40, 70, 126, 236, 444, 840, 1580, 2982, 5642, 10758, 20618, 39724, 76720, 148508, 287840, 558880, 1086816, 2117164, 4130292, 8068510, 15778730, 30887282, 60514526, 118658662, 232846542, 457252186, 898525282, 1766745540 (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: A164162 A164402 A164165 * A182747 A164406 A178982

Adjacent sequences:  A164165 A164166 A164167 * A164169 A164170 A164171

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 11 2009

STATUS

approved

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Last modified July 12 22:46 EDT 2020. Contains 335669 sequences. (Running on oeis4.)