A164164 Number of binary strings of length n with equal numbers of 0001 and 1100 substrings.

1, 2, 4, 8, 14, 24, 42, 76, 142, 270, 518, 998, 1924, 3712, 7168, 13856, 26826, 52018, 101024, 196496, 382710, 746326, 1457084, 2847688, 5570840, 10907820, 21375520, 41921164, 82274428, 161581188, 317535452, 624383548, 1228435862, 2418134866

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: A164171 A164159 A164172 * A164158 A164170 A164177

Adjacent sequences: A164161 A164162 A164163 * A164165 A164166 A164167

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved