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Search: id:A066320
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| A066320 |
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Triangle: T(n,k)=C(n,k)*k^k*(n-k)^(n-k-1) k=0..n-1. |
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+0
1
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| 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; listen)
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OFFSET
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1,2
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REFERENCES
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F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, pg 68 (2.1.43).
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FORMULA
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E.g.f.: -LambertW(-y)/(1+LambertW(-x*y)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 26 2006
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EXAMPLE
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1; 2,2; 9,6,12; 64,36,48,108; 625,320,360,540,1280; ...
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CROSSREFS
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Columns 1, 2: A000169, A055541. Main diagonal: A055897. Row sums give A000312.
Sequence in context: A103710 A093589 A073315 this_sequence A005168 A011149 A021439
Adjacent sequences: A066317 A066318 A066319 this_sequence A066321 A066322 A066323
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KEYWORD
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nonn,tabl
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Dec 13 2001
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