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Search: id:A075071
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| A075071 |
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n! divided by product of factorials of all proper divisors of n, as n runs through the values for which the result is an integer. |
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+0
3
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| 1, 2, 6, 12, 120, 60, 5040, 840, 60480, 15120, 39916800, 2310, 6227020800, 8648640, 1816214400, 10810800, 355687428096000, 2042040, 121645100408832000, 116396280, 1689515283456000, 14079294028800, 25852016738884976640000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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n! divided by the product of factorials of all proper divisors of n is not always an integer, e.g. when n = 24 the quotient is 7436429/48. See A075422.
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EXAMPLE
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a(12) = 12! / (2!*3!*4!*6!) = 2310.
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MATHEMATICA
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Table[ n!/ Apply[ Times, Drop[ Divisors[n], -1]! ], {n, 1, 23}]
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CROSSREFS
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Cf. A075422.
Sequence in context: A062954 A038787 A144098 this_sequence A089423 A062349 A105122
Adjacent sequences: A075068 A075069 A075070 this_sequence A075072 A075073 A075074
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KEYWORD
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nice,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 09 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 14 2002
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