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Coefficient of y^(n-4) in expansion of (y+n!)^n.
0

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

%S 331776,1036800000,4031078400000,22583444889600000,

%T 185003580535603200000,2184855285409366671360000,

%U 36414254756822777856000000000,837793163263009313783808000000000

%N Coefficient of y^(n-4) in expansion of (y+n!)^n.

%t a = {}; Do[k = CoefficientList[Expand[(y + n!)^n], y]; AppendTo[a, k[[Length[k] - 4]]], {n, 4, 50}]; a

%Y Cf. A001563. A134358.

%K nonn

%O 4,1

%A _Artur Jasinski_, Oct 22 2007