A164151 Number of binary strings of length n with equal numbers of 0000 and 0110 substrings

1, 2, 4, 8, 14, 25, 44, 81, 147, 271, 494, 914, 1686, 3144, 5853, 10982, 20614, 38943, 73668, 140052, 266722, 510012, 977110, 1878151, 3616930, 6984113, 13509815, 26190433, 50854110, 98922756, 192696246, 375925007, 734270150, 1435989377

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: A164392 A164152 A164390 * A281810 A199925 A164388

Adjacent sequences: A164148 A164149 A164150 * A164152 A164153 A164154

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved