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Search: id:A088303
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| A088303 |
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Smallest integer value of n!/ ( 1!a!b!c!...), where denominator contains product of factorials of numbers coprime to n in increasing order. 1,a,b,c,... etc. are coprime to n and 1 < a < b, c ...< n. |
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+0
1
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| 1, 2, 3, 4, 10, 6, 420, 56, 63, 120, 1155, 792, 180180, 121080960, 5405400, 5765760, 14294280, 10585935360, 969969, 221707200, 219988969200, 853572720, 206137811880, 25700298624, 368103235500, 306261891936000, 9302704967556000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) = A088302(n) if n is a prime.
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EXAMPLE
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a(9) = 9!/{1!*2!*4!*5!} = 63 which is not divisible by 7!.
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MAPLE
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A := proc (n) local x, i; x := n!; for i to n while x = floor(x) do if gcd(i, n) = 1 and `mod`(x, i!) = 0 then x := x/i! fi od; RETURN(x) end (from Michael Lugo)
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CROSSREFS
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Cf. A088302, A074199.
Sequence in context: A111619 A143178 A084190 this_sequence A054930 A119798 A015976
Adjacent sequences: A088300 A088301 A088302 this_sequence A088304 A088305 A088306
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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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Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 06 2003
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