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A066320 Triangle: T(n,k)=C(n,k)*k^k*(n-k)^(n-k-1) k=0..n-1. 0

%I

%S 1,2,2,9,6,12,64,36,48,108,625,320,360,540,1280,7776,3750,3840,4860,

%T 7680,18750,117649,54432,52500,60480,80640,131250,326592,2097152,

%U 941192,870912,945000,1146880,1575000,2612736,6588344,43046721

%N Triangle: T(n,k)=C(n,k)*k^k*(n-k)^(n-k-1) k=0..n-1.

%D F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 68 (2.1.43).

%F E.g.f.: -LambertW(-y)/(1+LambertW(-x*y)). - _Vladeta Jovovic_, Jan 26 2006

%e 1; 2,2; 9,6,12; 64,36,48,108; 625,320,360,540,1280; ...

%Y Columns 1, 2: A000169, A055541. Main diagonal: A055897. Row sums give A000312.

%K nonn,tabl

%O 1,2

%A _Christian G. Bower_, Dec 13 2001

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Last modified April 20 08:38 EDT 2021. Contains 343125 sequences. (Running on oeis4.)