%I #6 Mar 15 2023 14:17:48
%S 1,1,-3,45,-2430,433026,-245525742,434685788658,-2376644549487615,
%T 39849199161258840705,-2039314646436750180150939,
%U 317469566015078743658568283029,-149970083228995077874358388356635368,214577598849654850870918566871719460091160
%N Column 0 of triangle A117252.
%F a(n) = [Product_{j=0..n-1} (1-3*j)]/n! * 3^(n*(n-1)/2).
%o (PARI) a(n)=prod(j=0,n-1,1-3*j)/n!*3^(n*(n-1)/2)
%Y Cf. A117252.
%K sign
%O 0,3
%A _Paul D. Hanna_, Mar 14 2006