%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