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A034975
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One seventh of octo-factorial numbers.
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5
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1, 15, 345, 10695, 417105, 19603935, 1078216425, 67927634775, 4822862069025, 381006103452975, 33147531000408825, 3149015445038838375, 324348590839000352625, 36002693583129039141375
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Index entries for sequences related to factorial numbers
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FORMULA
| 7*a(n) = (8*n-1)!^8 := product(8*j-1, j=1..n) = (8n)!/((2*n)!*2^(6*n)*3^2*5*A045755(n)*A007696(n)*A034909(n)*A034911(n)*A034176(n)); E.g.f. (-1+(1-8*x)^(-7/8))/7.
G.f.: x/(1-15x/(1-8x/(1-23x/(1-16x/(1-31x/(1-24x/(1-39x/(1-32x/(1-... (continued fraction). - DELEHAM Philippe , Jan 07 2012
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MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 14, 5!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
| Cf. A045755, A034908-A034912, A034976.
Sequence in context: A114937 A157965 A100875 * A012787 A030049 A202809
Adjacent sequences: A034972 A034973 A034974 * A034976 A034977 A034978
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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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