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A034975 One seventh of octo-factorial numbers. 5
1, 15, 345, 10695, 417105, 19603935, 1078216425, 67927634775, 4822862069025, 381006103452975, 33147531000408825, 3149015445038838375, 324348590839000352625, 36002693583129039141375 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..14.

Index entries for sequences related to factorial numbers

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). - Philippe Deléham, Jan 07 2012

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 14, 5!, 8}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)

CROSSREFS

Cf. A045755, A034908-A034912, A034976.

Sequence in context: A321850 A100875 A286391 * A012787 A216449 A030049

Adjacent sequences:  A034972 A034973 A034974 * A034976 A034977 A034978

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified January 24 16:46 EST 2020. Contains 331209 sequences. (Running on oeis4.)