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A034300
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One third of quintic factorial numbers.
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10
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1, 8, 104, 1872, 43056, 1205568, 39783744, 1511782272, 65006637696, 3120318609408, 165376886298624, 9591859405320192, 604287142535172096, 41091525692391702528, 2999681375544594284544, 233975147292478354194432
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..16.
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FORMULA
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3*a(n) = (5*n-2)(!^5) := product(5*j-2, j=1..n); E.g.f. (-1+(1-5*x)^(-3/5))/3, a(0) := 0.
a(n) ~ 5/3*2^(1/2)*pi^(1/2)*Gamma(3/5)^-1*n^(11/10)*5^n*e^-n*n^n*{1 + 169/300*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, 7, 5!, 5}]; lst [From Vladimir Joseph Stephan Orlovsky, Nov 08 2008]
Table[Product[5j-2, {j, n}], {n, 20}]*1/3 (* From Harvey P. Dale, Jul 25 2011 *)
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CROSSREFS
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Cf. A008548, A034301.
Sequence in context: A106260 A112121 A141383 * A146346 A119934 A001922
Adjacent sequences: A034297 A034298 A034299 * A034301 A034302 A034303
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KEYWORD
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nonn
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AUTHOR
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Wolfdieter Lang
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STATUS
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approved
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