A164165 Number of binary strings of length n with equal numbers of 0001 and 1110 substrings

1, 2, 4, 8, 14, 24, 40, 68, 118, 212, 394, 752, 1460, 2860, 5616, 11016, 21554, 42060, 81910, 159352, 309990, 603464, 1176250, 2296184, 4489444, 8790452, 17233756, 33822464, 66435460, 130584824, 256821496, 505337672, 994772026, 1959055556

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: A164173 A164162 A164402 * A164168 A182747 A164406

Adjacent sequences: A164162 A164163 A164164 * A164166 A164167 A164168

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved