

A276400


Denominator of n!/(n^nn).


2



1, 4, 21, 26, 1555, 817, 299593, 134521, 12345679, 43229041, 67546215517, 4622635937, 61054982558011, 18617937516193, 5118976599431, 4224061794762749, 128583032925805678351, 655879001624535409, 275941052631578947368421, 286115209221463953761, 2707038020425761202263187
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OFFSET

2,2


LINKS

Chai Wah Wu, Table of n, a(n) for n = 2..389
Natasha Morrison and Alex Scott, Maximizing the number of induced cycles in a graph, Preprint, 2016. See Conj. 1.1.


EXAMPLE

1, 1/4, 2/21, 1/26, 24/1555, 5/817, 720/299593, 126/134521, 4480/12345679, 6048/43229041, 3628800/67546215517, 95040/4622635937, 479001600/61054982558011, ...


MATHEMATICA

Table[Denominator[n! / (n^n  n)], {n, 2, 30}] (* Vincenzo Librandi, Sep 12 2016 *)


PROG

(Python)
from __future__ import division
from math import factorial
from fractions import gcd
def A276400(n):
a = n**(n1)  1
return a//gcd(factorial(n1), a) # Chai Wah Wu, Sep 11 2016
(Magma) [Denominator(Factorial(n)/(n^nn)): n in [2..25]]; // Vincenzo Librandi, Sep 12 2016


CROSSREFS

Cf. A276399.
Sequence in context: A041821 A042429 A356357 * A304770 A316513 A273208
Adjacent sequences: A276397 A276398 A276399 * A276401 A276402 A276403


KEYWORD

nonn,frac


AUTHOR

N. J. A. Sloane, Sep 11 2016


STATUS

approved



