A164177 Number of binary strings of length n with equal numbers of 0110 and 1001 substrings

1, 2, 4, 8, 14, 24, 44, 82, 152, 280, 522, 980, 1852, 3506, 6672, 12736, 24418, 46916, 90436, 174658, 338208, 655936, 1274786, 2480740, 4835588, 9436162, 18438560, 36063040, 70611906, 138368900, 271392388, 532664834, 1046273664, 2056340608

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: A164164 A164158 A164170 * A164157 A164175 A066456

Adjacent sequences: A164174 A164175 A164176 * A164178 A164179 A164180

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved