1,2
(n^2)!/(n!)^(n+1) is an integer for every n (see A057599). Hence k >= n+1. Conjecture: k=n+1 only when n is prime or a power of a prime.
a(4) = 16!/(4!)^5 = 2627625 which is not further divisible by 24.
Cf. A034841, A057599, A096127.
Sequence in context: A051365 A003706 A068250 * A057599 A054583 A139984
Adjacent sequences: A096123 A096124 A096125 * A096127 A096128 A096129
nonn
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 03 2004
Edited by Don Reble (djr(AT)nk.ca), Jul 04 2004
