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Search: id:A096126
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| A096126 |
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a(n) = least integer of the form (n^2)!/(n!)^k. |
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+0
2
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| 1, 3, 280, 2627625, 5194672859376, 5150805819130303332, 1461034854396267778567973305958400, 450538787986875167583433232345723106006796340625
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OFFSET
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1,2
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COMMENT
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(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.
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EXAMPLE
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a(4) = 16!/(4!)^5 = 2627625 which is not further divisible by 24.
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CROSSREFS
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Cf. A034841, A057599, A096127.
Adjacent sequences: A096123 A096124 A096125 this_sequence A096127 A096128 A096129
Sequence in context: A051365 A003706 A068250 this_sequence A057599 A054583 A139984
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 03 2004
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), Jul 04 2004
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