A164174 Number of binary strings of length n with equal numbers of 0011 and 0101 substrings

1, 2, 4, 8, 14, 24, 41, 68, 113, 192, 333, 596, 1106, 2110, 4108, 8104, 16073, 31894, 63160, 124644, 245071, 480334, 939230, 1833912, 3579000, 6986336, 13648481, 26694632, 52280853, 102529288, 201326717, 395764420, 778710612, 1533356190

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: A164406 A178982 A164397 * A164396 A164400 A164405

Adjacent sequences: A164171 A164172 A164173 * A164175 A164176 A164177

Keyword

nonn

Author

R. H. Hardin Aug 11 2009

Status

approved