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Search: id:A085157
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| A085157 |
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Quintuple factorials, 5-factorials, n!!!!!, n!5. |
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+0
14
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| 1, 1, 2, 3, 4, 5, 6, 14, 24, 36, 50, 66, 168, 312, 504, 750, 1056, 2856, 5616, 9576, 15000, 22176, 62832, 129168, 229824, 375000, 576576, 1696464, 3616704, 6664896, 11250000, 17873856, 54286848, 119351232, 226606464, 393750000, 643458816
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The term "Quintuple factorial numbers" is also used for the sequences A008546, A008548, A052562, A047055, A047056 which have a different definition. The definition given here is the one commonly used.
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LINKS
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Eric Weisstein's World of Mathematics, Multifactorial Section of World of Mathematics.
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FORMULA
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a(n)=1 for n<1 otherwise a(n)=n*a(n-5)
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EXAMPLE
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a(12)=168 because 12*a(12-5)=12*a(7)=12*14=168.
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PROGRAM
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(PARI) a(n)=if(n<1, 1, n*a(n-5)) for(n=0, 50, print1(a(n), ", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 19 2006
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CROSSREFS
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Cf. n!:A000142, n!!:A006882, n!!!:A007661, n!!!!:A007662, n!!!!!!:A085158, 5-factorial primes: n!!!!!+1:A085148, n!!!!!-1:A085149.
Sequence in context: A084830 A116044 A116027 this_sequence A065637 A039061 A138987
Adjacent sequences: A085154 A085155 A085156 this_sequence A085158 A085159 A085160
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Jun 21 2003
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