A164170 Number of binary strings of length n with equal numbers of 0010 and 1010 substrings

1, 2, 4, 8, 14, 24, 43, 79, 146, 268, 493, 918, 1725, 3255, 6157, 11688, 22294, 42698, 82014, 157911, 304777, 589648, 1143210, 2220419, 4319453, 8415119, 16416671, 32066121, 62702875, 122733734, 240459610, 471510670, 925299190, 1817131856

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: A164172 A164164 A164158 * A164177 A164157 A164175

Adjacent sequences: A164167 A164168 A164169 * A164171 A164172 A164173

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved