OFFSET
2,1
COMMENTS
Conjecture: a(n)=n+1 only when n is prime or a power of a prime. [Verified for n=2..5000. - Amiram Eldar, Apr 06 2021]
LINKS
Amiram Eldar, Table of n, a(n) for n = 2..5000
EXAMPLE
a(6) = 8 as 36!/(6!)^8 is an integer which is not further divisible by 720.
MATHEMATICA
f[n_] := Block[{k = n}, While[ IntegerQ[(n^2)!/n!^k], k++ ]; k - 1]; Table[ f[n], {n, 75}] (* Robert G. Wilson v, Jul 03 2004 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Jul 03 2004
EXTENSIONS
Edited by Don Reble and Robert G. Wilson v, Jul 04 2004
STATUS
approved