A164156 Number of binary strings of length n with equal numbers of 0001 and 0011 substrings.

1, 2, 4, 8, 14, 26, 48, 88, 166, 312, 590, 1124, 2140, 4092, 7844, 15060, 28998, 55940, 108124, 209408, 406218, 789272, 1535792, 2992312, 5837488, 11400876, 22289812, 43621496, 85444828, 167507880, 328642084, 645245632, 1267710158, 2492228804

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: A273154 A135491 A164154 * A257934 A258000 A164155

Adjacent sequences: A164153 A164154 A164155 * A164157 A164158 A164159

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved