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Search: id:A110808
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| A110808 |
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Least factorial obtained as n(n-1)...(n-k). |
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+0
1
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| 1, 2, 6, 24, 120, 6, 5040, 40320, 362880, 720, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 2432902008176640000
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OFFSET
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1,2
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COMMENT
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Max (a(n)) = n!. a(n!) = n!. Define numbers of the type 10 as factoriable numbers. Are there any more such numbers? i.e. numbers of the type k such that a(k) is neither k nor k!.
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EXAMPLE
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a(10) = 10*9*8 = 720.
a(6)= 6.
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MAPLE
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isfact := proc(n) local i ; for i from 1 do if i! = n then RETURN(true) ; elif i! > n then RETURN(false) ; fi ; od; end: A110808 := proc(n) local k, nfall ; for k from 0 do nfall := mul(n-i, i=0..k) ; if isfact(nfall) then RETURN(nfall) ; fi ; od: end: seq(A110808(n), n=1..40) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 08 2008
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CROSSREFS
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Sequence in context: A071077 A005395 A092495 this_sequence A065422 A008336 A033643
Adjacent sequences: A110805 A110806 A110807 this_sequence A110809 A110810 A110811
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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), Aug 14 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 08 2008
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