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A164154 Number of binary strings of length n with equal numbers of 0000 and 1111 substrings 1
1, 2, 4, 8, 14, 26, 48, 88, 164, 302, 562, 1044, 1946, 3632, 6796, 12738, 23932, 45044, 84976, 160610, 304222, 577358, 1097974, 2092018, 3993784, 7638400, 14635854, 28092662, 54015016, 104027610, 200667008, 387672364, 750053450, 1453209256 (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: A308148 A273154 A135491 * A164156 A257934 A258000

Adjacent sequences:  A164151 A164152 A164153 * A164155 A164156 A164157

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 11 2009

STATUS

approved

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Last modified November 21 01:33 EST 2019. Contains 329349 sequences. (Running on oeis4.)