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A164144 Number of binary strings of length n with equal numbers of 001 and 101 substrings 1
1, 2, 4, 6, 8, 11, 18, 36, 76, 153, 289, 525, 954, 1787, 3464, 6832, 13452, 26207, 50603, 97525, 188805, 367994, 720805, 1414179, 2772486, 5428759, 10626469, 20818945, 40850896, 80275617, 157897960, 310707852, 611510788, 1203795095, 2370700373 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Seems to obey an 8-term hypergeometric recurrence with cubic polynomial coefficients. - R. J. Mathar, Nov 28 2011.

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: A039823 A284617 A079972 * A071241 A247123 A332240

Adjacent sequences:  A164141 A164142 A164143 * A164145 A164146 A164147

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 11 2009

STATUS

approved

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Last modified October 27 15:27 EDT 2020. Contains 338035 sequences. (Running on oeis4.)