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 A034300 One third of quintic factorial numbers. 10
 1, 8, 104, 1872, 43056, 1205568, 39783744, 1511782272, 65006637696, 3120318609408, 165376886298624, 9591859405320192, 604287142535172096, 41091525692391702528, 2999681375544594284544, 233975147292478354194432 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA 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 MATHEMATICA 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 *) CROSSREFS Cf. A008548, A034301. Sequence in context: A106260 A112121 A141383 * A146346 A119934 A001922 Adjacent sequences:  A034297 A034298 A034299 * A034301 A034302 A034303 KEYWORD nonn AUTHOR STATUS approved

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