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Search: id:A108889
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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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+0
1
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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; listen)
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OFFSET
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1,2
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COMMENT
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As every k divides n!, LCM of all k's divides n!.
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EXAMPLE
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a(8) = 8!/gcd(9, 10) = 40320/90 = 448.
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CROSSREFS
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Cf. A109914.
Sequence in context: A164873 A052399 A090583 this_sequence A033645 A138113 A045977
Adjacent sequences: A108886 A108887 A108888 this_sequence A108890 A108891 A108892
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KEYWORD
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nonn,less
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 16 2005
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EXTENSIONS
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Corrected and extended by David Wasserman (dwasserm(AT)earthlink.net), Mar 31 2008
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