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A066320 Triangle: T(n,k)=C(n,k)*k^k*(n-k)^(n-k-1) k=0..n-1. 0
1, 2, 2, 9, 6, 12, 64, 36, 48, 108, 625, 320, 360, 540, 1280, 7776, 3750, 3840, 4860, 7680, 18750, 117649, 54432, 52500, 60480, 80640, 131250, 326592, 2097152, 941192, 870912, 945000, 1146880, 1575000, 2612736, 6588344, 43046721 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..37.

FORMULA

E.g.f.: -LambertW(-y)/(1+LambertW(-x*y)). - Vladeta Jovovic, Jan 26 2006

EXAMPLE

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

CROSSREFS

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

Sequence in context: A319129 A073315 A298597 * A005168 A256591 A011149

Adjacent sequences:  A066317 A066318 A066319 * A066321 A066322 A066323

KEYWORD

nonn,tabl

AUTHOR

Christian G. Bower, Dec 13 2001

STATUS

approved

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Last modified January 18 01:36 EST 2019. Contains 319260 sequences. (Running on oeis4.)