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Fourth column (m=5) of array A091752 ((-1,2)Stirling2) divided by -6.
1

%I #5 Oct 12 2012 14:40:20

%S 1,60,6720,1232000,336336000,128076748800,64892219392000,

%T 42217023873024000,34301331896832000000,34042166278055936000000,

%U 40523794737397786214400000,56991191326140341157888000000

%N Fourth column (m=5) of array A091752 ((-1,2)Stirling2) divided by -6.

%F a(n)= -A091752(n, 5)/6, n>=3.

%F a(n)=((n-1)*(n-2)/4)*(3*(n-2))!/((3^(n-2))*(n-2)!) = ((n-1)*(n-2)/4)*A052502(n-2), n>=3.

%F G.f.: (x^3)*hypergeom([4/3, 5/3, 3], [], 9*x).

%K nonn,easy

%O 3,2

%A _Wolfdieter Lang_, Feb 27 2004