A036503 Denominator of n^(n-2)/n!.

1, 2, 2, 3, 24, 5, 720, 315, 4480, 567, 3628800, 1925, 479001600, 868725, 14350336, 638512875, 20922789888000, 14889875, 6402373705728000, 14849255421, 7567605760000, 17717861581875, 1124000727777607680000, 2505147019375

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• frac

Comments

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]

Examples

			1, 1/2, 1/2, 2/3, 25/24, 9/5, 2401/720, 2048/315, 59049/4480, 15625/567, 214358881/3628800, ...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..450

Crossrefs

Cf. A036502, A036504.

Programs

Magma

[Denominator(n^(n - 2)/Factorial(n)): n in [1..50]]; // G. C. Greubel, Nov 14 2017

Mathematica

Denominator[Table[n^(n - 2)/n!, {n, 1, 50}]] (* G. C. Greubel, Nov 14 2017 *)

PARI

for(n=1, 50, print1(denominator(n^(n-2)/n!), ", ")) \\ G. C. Greubel, Nov 14 2017