A164145 Number of binary strings of length n with equal numbers of 001 and 110 substrings

1, 2, 4, 6, 8, 12, 22, 46, 96, 192, 368, 692, 1302, 2482, 4794, 9334, 18208, 35484, 69060, 134400, 261864, 511136, 999404, 1956660, 3834182, 7518146, 14750262, 28957066, 56884098, 111817490, 219934862, 432832198, 852241168, 1678824924, 3308539056

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: A118563 A228515 A363145 * A354530 A140999 A168267

Adjacent sequences: A164142 A164143 A164144 * A164146 A164147 A164148

Keyword

nonn

Author

R. H. Hardin Aug 11 2009

Status

approved