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A164148 Number of binary strings of length n with equal numbers of 0000 and 0010 substrings 1
1, 2, 4, 8, 14, 25, 46, 86, 160, 294, 545, 1016, 1904, 3565, 6686, 12585, 23770, 45013, 85392, 162393, 309621, 591792, 1133516, 2175532, 4184036, 8062871, 15566675, 30105898, 58320830, 113156619, 219878845, 427850213, 833616314, 1626199001 (list; graph; refs; listen; history; text; internal format)
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: A164387 A164150 A164149 * A065492 A298880 A208483

Adjacent sequences:  A164145 A164146 A164147 * A164149 A164150 A164151

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 11 2009

STATUS

approved

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Last modified January 18 11:57 EST 2022. Contains 350455 sequences. (Running on oeis4.)