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Search: id:A058295
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| A058295 |
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Products of distinct factorials. |
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+0
15
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| 1, 2, 6, 12, 24, 48, 120, 144, 240, 288, 720, 1440, 2880, 4320, 5040, 5760, 8640, 10080, 17280, 30240, 34560, 40320, 60480, 80640, 86400, 103680, 120960, 172800, 207360, 241920, 362880, 483840, 518400, 604800, 725760, 967680, 1036800, 1209600
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OFFSET
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0,2
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COMMENT
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(A075082(n)!)^2 is a member for n>0, for example, (6!)^2=6!*5!*3!. Factorials A000142 and superfactorials A000178 (without their first terms), double-superfactorials A098694 and product-of-next-n-factorials A074319 are all subsequences. Products-of-factorials A001013 is a supersequence. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Dec 18 2004
A000197(n)^2 is a member for n > 2, as ((n!)!)^2 = (n!)!*n!*(n!-1)!. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Dec 21 2004
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
Index entries for sequences related to factorial numbers
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EXAMPLE
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288 is included because 288 = 2! * 3! * 4!.
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MATHEMATICA
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k=10; m=1; With[{p=With[{s=Subsets[Table[n!, {n, 2, k}]]}, Sort[Table[Apply[Times, s[[n]]], {n, Length[s]}]]]}, While[p[[m]]<(k+1)!, m++ ]; Union[Take[p, m-1]]] (Sondow)
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CROSSREFS
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Cf. A075082, A000142, A000178, A098694, A074319, A001013.
Cf. A000197.
Sequence in context: A003680 A051487 A111286 this_sequence A132176 A133953 A122863
Adjacent sequences: A058292 A058293 A058294 this_sequence A058296 A058297 A058298
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Dec 07 2000
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EXTENSIONS
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Corrected by Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Dec 18 2004
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