2,1

Conjecture: a(n)=n+1 only when n is prime or a power of a prime.

Table of n, a(n) for n=2..73.

a(6) = 8 as 36!/(6!)^8 is an integer which is not further divisible by 720.

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 *)

Cf. A034841, A057599, A096126.

Sequence in context: A153100 A143152 A229109 * A327953 A112768 A298420

Adjacent sequences: A096124 A096125 A096126 * A096128 A096129 A096130

nonn

Amarnath Murthy, Jul 03 2004

Edited by Don Reble and Robert G. Wilson v, Jul 04 2004

approved