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A108889
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a(n) = n! divided by LCM of all composite numbers k such that n < k < prime(r) where prime(r-1)< n.
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1, 2, 6, 24, 120, 720, 5040, 448, 36288, 3628800, 39916800, 479001600, 6227020800, 363242880, 81729648000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 5266021662720000, 2322315553259520000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| As every k divides n!, LCM of all k's divides n!.
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EXAMPLE
| a(8) = 8!/gcd(9, 10) = 40320/90 = 448.
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CROSSREFS
| Cf. A109914.
Sequence in context: A052399 A177553 A090583 * A033645 A138113 A045977
Adjacent sequences: A108886 A108887 A108888 * A108890 A108891 A108892
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KEYWORD
| nonn,less
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 16 2005
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EXTENSIONS
| Corrected and extended by David Wasserman (dwasserm(AT)earthlink.net), Mar 31 2008
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