A164148 Number of binary strings of length n with equal numbers of 0000 and 0010 substrings

1, 2, 4, 8, 14, 25, 46, 86, 160, 294, 545, 1016, 1904, 3565, 6686, 12585, 23770, 45013, 85392, 162393, 309621, 591792, 1133516, 2175532, 4184036, 8062871, 15566675, 30105898, 58320830, 113156619, 219878845, 427850213, 833616314, 1626199001

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: A164387 A164150 A164149 * A065492 A298880 A208483

Adjacent sequences: A164145 A164146 A164147 * A164149 A164150 A164151

Keyword

nonn

Author

R. H. Hardin Aug 11 2009

Status

approved