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A036503
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Denominator of n^(n-2)/n!.
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7
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1, 2, 2, 3, 24, 5, 720, 315, 4480, 567, 3628800, 1925, 479001600, 868725, 14350336, 638512875, 20922789888000, 14889875, 6402373705728000, 14849255421, 7567605760000, 17717861581875, 1124000727777607680000, 2505147019375
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OFFSET
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1,2
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COMMENTS
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Denominators 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
Absolute value of denominator of the coefficient of 1/(n*x-1) in the partial fraction decomposition of 1/(x-1)*1/(2*x-1)*...*1/(n*x-1). [Joris Roos (jorisr(AT)gmx.de), Aug 02 2009]
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LINKS
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EXAMPLE
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1, 1/2, 1/2, 2/3, 25/24, 9/5, 2401/720, 2048/315, 59049/4480, 15625/567, 214358881/3628800, ...
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MATHEMATICA
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Denominator[Table[n^(n - 2)/n!, {n, 1, 50}]] (* G. C. Greubel, Nov 14 2017 *)
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PROG
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(PARI) for(n=1, 50, print1(denominator(n^(n-2)/n!), ", ")) \\ G. C. Greubel, Nov 14 2017
(Magma) [Denominator(n^(n - 2)/Factorial(n)): n in [1..50]]; // G. C. Greubel, Nov 14 2017
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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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