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A096939 Number of sets of odd number of even lists, cf. A000262. 1
0, 2, 6, 36, 260, 1950, 19362, 193256, 2326536, 29272410, 413257790, 6231230412, 101415565836, 1769925341366, 32734873484250, 646218442877520, 13404753632014352, 294656673023216946, 6775966692145553526 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

FORMULA

E.g.f.: exp(x/(1-x^2))*sinh(x^2/(1-x^2)).

Recurrence: (n-2)*a(n) = (2*n-3)*a(n-1) + (n-1)*(2*n^2 - 8*n + 7)*a(n-2) + (n-2)*(n-1)*(2*n-5)*a(n-3) - (n-4)*(n-3)*(n-2)^2*(n-1)*a(n-4). - Vaclav Kotesovec, Sep 29 2013

a(n) ~ exp(2*sqrt(n)-n-1/2)*n^(n-1/4)/(2*sqrt(2)) * (1-5/(48*sqrt(n))). - Vaclav Kotesovec, Sep 29 2013

MATHEMATICA

Drop[ Range[0, 20]! CoefficientList[ Series[ Exp[(x/(1 - x^2))] Sinh[x^2/(1 - x^2)], {x, 0, 20}], x], 1] (* Robert G. Wilson v, Aug 19 2004 *)

CROSSREFS

Cf. A088026, A088009.

Sequence in context: A177373 A109284 A060178 * A162697 A107099 A143021

Adjacent sequences:  A096936 A096937 A096938 * A096940 A096941 A096942

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Aug 18 2004

EXTENSIONS

More terms from Robert G. Wilson v, Aug 19 2004

STATUS

approved

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Last modified October 14 12:02 EDT 2019. Contains 328004 sequences. (Running on oeis4.)