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A088313 Number of "sets of lists" (cf. A000262) with an odd number of lists. 1
1, 2, 7, 36, 241, 1950, 18271, 193256, 2270017, 29272410, 410815351, 6231230412, 101560835377, 1769925341366, 32838929702671, 646218442877520, 13441862819232001 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

N. J. A. Sloane, LAH transform

FORMULA

E.g.f.: sinh(x/(1-x)). a(n) = Sum_{k=1.. floor((n+1)/2)} n!/(2*k-1)!*binomial(n-1, 2*k-2).

CROSSREFS

Cf. A027187, A024429, A024430, A001710, A109777.

Sequence in context: A019030 A119736 A088715 * A201197 A185754 A191493

Adjacent sequences:  A088310 A088311 A088312 * A088314 A088315 A088316

KEYWORD

nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 05 2003

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.