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E.g.f.: Product_{m>0} (1 - x^m + x^(2m)/2).
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%I #18 Oct 02 2017 02:42:33

%S 1,-1,-1,0,0,0,180,0,10080,90720,0,0,179625600,-1556755200,

%T -10897286400,326918592000,-2615348736000,-88921857024000,

%U 800296713216000,-30411275102208000,152056375511040000,0,-351250227430502400000,-3231502092360622080000

%N E.g.f.: Product_{m>0} (1 - x^m + x^(2m)/2).

%H Seiichi Manyama, <a href="/A293141/b293141.txt">Table of n, a(n) for n = 0..449</a>

%p N:= 30: # to get a(0)..a(N)

%p P:= mul(1-x^m+x^(2*m)/2, m=1..N):

%p seq(coeff(P,x,n)*n!, n=0..N); # _Robert Israel_, Oct 01 2017

%Y Column k=2 of A293139.

%Y Cf. A293138.

%K sign

%O 0,7

%A _Seiichi Manyama_, Oct 01 2017