A164166 Number of binary strings of length n with equal numbers of 0010 and 0100 substrings

1, 2, 4, 8, 14, 26, 50, 96, 184, 352, 678, 1310, 2534, 4908, 9520, 18496, 35980, 70068, 136596, 266560, 520672, 1017920, 1991686, 3900022, 7642470, 14986604, 29407560, 57741232, 113441092, 222996908, 438590236, 863056256, 1699136816, 3346697088

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: A164155 A164167 A164169 * A164161 A068011 A048238

Adjacent sequences: A164163 A164164 A164165 * A164167 A164168 A164169

Keyword

nonn

Author

R. H. Hardin, Aug 11 2009

Status

approved