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A034975 One seventh of octo-factorial numbers. 5

%I

%S 1,15,345,10695,417105,19603935,1078216425,67927634775,4822862069025,

%T 381006103452975,33147531000408825,3149015445038838375,

%U 324348590839000352625,36002693583129039141375

%N One seventh of octo-factorial numbers.

%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>

%F 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)).

%F E.g.f.: (-1+(1-8*x)^(-7/8))/7.

%F 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

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

%Y Cf. A045755, A034908-A034912, A034976.

%K easy,nonn

%O 1,2

%A _Wolfdieter Lang_

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Last modified February 24 09:40 EST 2020. Contains 332209 sequences. (Running on oeis4.)