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%I #17 Dec 01 2021 10:48:47
%S 0,2,6,36,260,1950,19362,193256,2326536,29272410,413257790,6231230412,
%T 101415565836,1769925341366,32734873484250,646218442877520,
%U 13404753632014352,294656673023216946,6775966692145553526
%N Number of sets of odd number of even lists, cf. A000262.
%H Vincenzo Librandi, <a href="/A096939/b096939.txt">Table of n, a(n) for n = 1..200</a>
%F E.g.f.: exp(x/(1-x^2))*sinh(x^2/(1-x^2)).
%F 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
%F 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
%F a(n) = A000262(n) - A096965(n). - _Alois P. Heinz_, Dec 01 2021
%t 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 *)
%Y Cf. A000262, A088026, A088009, A096965.
%K easy,nonn
%O 1,2
%A _Vladeta Jovovic_, Aug 18 2004
%E More terms from _Robert G. Wilson v_, Aug 19 2004
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