A164158 Number of binary strings of length n with equal numbers of 0001 and 0101 substrings

1, 2, 4, 8, 14, 24, 43, 76, 134, 244, 449, 828, 1551, 2934, 5564, 10620, 20390, 39236, 75721, 146612, 284397, 552594, 1075770, 2097260, 4093515, 7999814, 15650618, 30646304, 60063574, 117815288, 231263619, 454266068, 892880558, 1756030324

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: A164159 A164172 A164164 * A164170 A164177 A164157

Adjacent sequences: A164155 A164156 A164157 * A164159 A164160 A164161

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved