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Coefficient of y^(n-3) in expansion of (y+n!)^n.
1

%I #3 Mar 31 2012 10:22:05

%S 216,55296,17280000,7464960000,4480842240000,3670705963008000,

%T 4013916970549248000,5734167100784640000000,

%U 10494242565323489280000000,24178734870505319301120000000,69056884663650242455928832000000

%N Coefficient of y^(n-3) in expansion of (y+n!)^n.

%t a = {}; Do[k = CoefficientList[Expand[(y + n!)^n], y]; AppendTo[a, k[[Length[k] - 3]]], {n, 3, 50}]; a

%Y Cf. A001563.

%K nonn

%O 3,1

%A _Artur Jasinski_, Oct 22 2007