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Third column of triangle A055864.
3

%I #4 Mar 31 2012 13:20:01

%S 0,0,9,80,900,12348,200704,3779136,81000000,1948717100,52027785216,

%T 1527047909712,48884036690944,1695352148437500,63331869759897600,

%U 2535571976423919872,108321063231221415936,4918685157679434648876

%N Third column of triangle A055864.

%F a(1)=0= a(2); a(n)= n^2*(n+1)^(n-3), n >= 3.

%F E.g.f. (3*W(-x)^2-2*W(-x)^3-3*x^2-8*x^3)/(12*x), W(x) principal branch of Lambert's function.

%F a(n)=A055864(n, 3).

%Y Cf. A055864, A000272, A055865.

%K nonn,easy

%O 1,3

%A _Wolfdieter Lang_ Jun 20 2000