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Search: id:A047056
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| A047056 |
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Quintuple factorial numbers: product[ k=0..n-1 ] (5*k+3). |
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+0 12
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| 1, 3, 24, 312, 5616, 129168, 3616704, 119351232, 4535346816, 195019913088, 9360955828224, 496130658895872, 28775578215960576, 1812861427605516288, 123274577077175107584, 8999044126633782853632
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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E.g.f. (1-5*x)^(-3/5)
a(n) ~ 2^(1/2)*pi^(1/2)*Gamma(3/5)^-1*n^(1/10)*5^n*e^-n*n^n*{1 - 11/300*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 2, 5!, 5}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
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Cf. A047055, A008546.
Sequence in context: A138209 A075142 A138428 this_sequence A003236 A082166 A144003
Adjacent sequences: A047053 A047054 A047055 this_sequence A047057 A047058 A047059
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KEYWORD
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nonn,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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