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A034787
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One fifth of sextic factorial numbers.
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9
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1, 11, 187, 4301, 124729, 4365515, 178986115, 8412347405, 445854412465, 26305410335435, 1709851671803275, 121399468698032525, 9347759089748504425, 775864004449125867275, 69051896395972202187475
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| 5*a(n) = (6*n-1)(!^6) := product(6*j-1, j=1..n)= (6*n)!/(3^(2*n)*2^(2*n+1)*(2*n)!*A008542(n)*A007559(n)*A034000(n)); E.g.f. (-1+(1-6*x)^(-5/6))/5.
a(n) ~ 6/5*2^(1/2)*pi^(1/2)*Gamma(5/6)^-1*n^(4/3)*6^n*e^-n*n^n*{1 + 61/72*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
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MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 10, 5!, 6}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
| Cf. A008542, A034689, A034723, A034724, A034788.
Sequence in context: A112943 A057618 A068648 * A001408 A185123 A036936
Adjacent sequences: A034784 A034785 A034786 * A034788 A034789 A034790
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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