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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 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 STATUS approved

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