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Search: id:A088302
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| A088302 |
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Smallest integer value of n!/(2!3!...p!), where denominator contains product of factorials of primes in increasing order. |
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+0
5
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| 1, 3, 2, 10, 60, 420, 28, 252, 2520, 27720, 66, 858, 12012, 180180, 2882880, 49008960, 882161280, 16761064320, 8398, 176358, 3879876, 89237148, 2141691552, 53542288800, 1392099508800, 37586686737600, 1052427228652800
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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n!/{prime(1)!*prime(2)!*prime(3)!...*prime(k)!} where k is the largest integer such that {prime(1)!*prime(2)!*prime(3)!...*prime(k)!} divides n!.
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EXAMPLE
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a(8) = 8!/2!3!5! = 28, as 28/7! is not an integer.
a(12) = 12!/{2!*3!*5!*7!} = 66.
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MATHEMATICA
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f[n_] := Block[{k = 1}, While[ IntegerQ[ n!/Product[ Prime[i]!, {i, k}]], k++ ]; n!/Product[Prime[i]!, {i, k - 1}]]; Table[ f[n], {n, 2, 28}] (from Robert G. Wilson v Jun 21 2004)
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CROSSREFS
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Similar to but different from A074199.
Sequence in context: A070033 A107334 A096073 this_sequence A074199 A153187 A152177
Adjacent sequences: A088299 A088300 A088301 this_sequence A088303 A088304 A088305
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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), Sep 30 2003
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 06 2003
Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 08 2007
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