A164172 Number of binary strings of length n with equal numbers of 0010 and 1100 substrings

1, 2, 4, 8, 14, 24, 42, 75, 138, 261, 500, 960, 1838, 3505, 6669, 12698, 24254, 46533, 89679, 173472, 336440, 653616, 1271244, 2474786, 4822414, 9407279, 18372967, 35926706, 70331337, 137822864, 270318832, 530594784, 1042182332, 2048302421

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: A164394 A164171 A164159 * A164164 A164158 A164170

Adjacent sequences: A164169 A164170 A164171 * A164173 A164174 A164175

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved