A164173 Number of binary strings of length n with equal numbers of 0010 and 1101 substrings

1, 2, 4, 8, 14, 24, 40, 66, 110, 188, 334, 616, 1172, 2274, 4458, 8766, 17220, 33728, 65854, 128258, 249442, 484968, 943446, 1837620, 3584900, 7005162, 13710046, 26869130, 52718224, 103529290, 203460640, 400085312, 787119046, 1549247596

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: A118544 A222037 A019274 * A164162 A164402 A164165

Adjacent sequences: A164170 A164171 A164172 * A164174 A164175 A164176

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved