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Column 1 of triangle A136590.
4

%I #4 Jan 18 2016 21:25:12

%S 1,1,-4,6,24,-240,720,5040,-80640,362880,3628800,-79833600,479001600,

%T 6227020800,-174356582400,1307674368000,20922789888000,

%U -711374856192000,6402373705728000,121645100408832000,-4865804016353280000,51090942171709440000

%N Column 1 of triangle A136590.

%F E.g.f.: log(1 + x + x^2).

%F a(n) = n!*A061347(n) for n>=1.

%o (PARI) {a(n) = n!*polcoeff( log(1+x+x^2 +x*O(x^(n+1))),n)}

%o for(n=1,30,print1(a(n),", "))

%Y Cf. A136590, A136592, A136593, A136594; A061347.

%K sign

%O 1,3

%A _Paul D. Hanna_, Jan 10 2008