%I #2 Mar 30 2012 18:37:09
%S 1,6,-25,-135,1834,-3668,-110692,1339020,-1181664,-164709864,
%T 2206092096,395662176,-463716547776,7029335571840,8900411569920,
%U -2265668505227520,38689597829053440,92447263589921280,-17785648201625856000,338957966532455424000
%N Column 3 of triangle A136590.
%F E.g.f.: A(x) = log(1 + x + x^2)^3 / 3!.
%e E.g.f.: A(x) = 1*x^3/3! + 6*x^4/4! - 25*x^5/5! - 135*x^6/6! + 1834*x^7/7! -...
%o (PARI) a(n)=(n+3)!*polcoeff(log(1+x+x^2 +x*O(x^(n+3)))^3/3!,n+3)
%Y Cf. A136590, A136591, A136592, A136594.
%K sign
%O 3,2
%A _Paul D. Hanna_, Jan 10 2008