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A036504
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Numerator of n^(n-1)/n!.
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4
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1, 1, 3, 8, 125, 54, 16807, 16384, 531441, 156250, 2357947691, 2985984, 1792160394037, 7909306972, 320361328125, 35184372088832, 2862423051509815793, 5083731656658, 5480386857784802185939, 32000000000000000, 41209797661291758429
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OFFSET
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1,3
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COMMENTS
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(-1)^(n+1)* n-th numerator of coefficient in LambertW(x) power series, where LambertW(x) is the transcendental function satisfying LambertW(x)*exp( LambertW(x) )=x. - Benoit Cloitre, May 08 2002
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LINKS
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MATHEMATICA
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Numerator[Table[n^(n - 1)/n!, {n, 1, 30}]] (* G. C. Greubel, Sep 09 2018 *)
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PROG
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(PARI) for(n=1, 30, print1(numerator(n^(n-1)/n!), ", ")) \\ G. C. Greubel, Sep 09 2018
(Magma) [Numerator(n^(n-1)/Factorial(n)): n in [1..30]]; // G. C. Greubel, Sep 09 2018
(Sage) [numerator(n^(n-1)/factorial(n)) for n in (1..30)] # G. C. Greubel, Feb 08 2019
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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