|
| |
|
|
A088303
|
|
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.
|
|
0
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| a(n) = A088302(n) if n is a prime.
|
|
|
EXAMPLE
| a(9) = 9!/{1!*2!*4!*5!} = 63 which is not divisible by 7!.
|
|
|
MAPLE
| 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)
|
|
|
CROSSREFS
| Cf. A088302, A074199.
Sequence in context: A143178 A084190 A203070 * A193858 A054930 A119798
Adjacent sequences: A088300 A088301 A088302 * A088304 A088305 A088306
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 30 2003
|
|
|
EXTENSIONS
| Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 06 2003
|
| |
|
|
