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A164145
Number of binary strings of length n with equal numbers of 001 and 110 substrings.
1
1, 2, 4, 6, 8, 12, 22, 46, 96, 192, 368, 692, 1302, 2482, 4794, 9334, 18208, 35484, 69060, 134400, 261864, 511136, 999404, 1956660, 3834182, 7518146, 14750262, 28957066, 56884098, 111817490, 219934862, 432832198, 852241168, 1678824924, 3308539056
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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:
A118563
A228515
A363145
*
A354530
A140999
A168267
Adjacent sequences:
A164142
A164143
A164144
*
A164146
A164147
A164148
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Aug 11 2009
STATUS
approved
