

A164178


Number of binary strings of length n with equal numbers of 00000 and 00001 substrings.


1



1, 2, 4, 8, 16, 30, 59, 115, 224, 436, 851, 1657, 3231, 6300, 12287, 23966, 46762, 91250, 178107, 347709, 678959, 1326050, 2590430, 5061449, 9891729, 19335866, 37805063, 73931821, 144613480, 282932141, 553671863, 1083726319, 2121700836, 4154763584
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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: A164236 A164259 A164203 * A027423 A140410 A213368
Adjacent sequences: A164175 A164176 A164177 * A164179 A164180 A164181


KEYWORD

nonn


AUTHOR

R. H. Hardin, Aug 11 2009


STATUS

approved



