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A034912 One sixth of octo-factorial numbers. 7
1, 14, 308, 9240, 351120, 16151520, 872182080, 54075288960, 3785270227200, 295251077721600, 25391592684057600, 2386809712301414400, 243454590654744268800, 26780004972021869568000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..333

Index entries for sequences related to factorial numbers

FORMULA

6*a(n) = (8*n-2)(!^8) = Product_{j=1..n} (8*j - 2) = 2^n*3*A034176(n), 3*A034176(n) = (4*n-1)(!^4) = Product_{j=1..n} (4*j - 1).

E.g.f.: (-1+(1-8*x)^(-3/4))/6.

G.f.: x/(1-14x/(1-8x/(1-22x/(1-16x/(1-30x/(1-24x/(1-38x/(1-32x/(1-...(continued fraction). - Philippe Deléham, Jan 07 2012

MAPLE

f:= proc(n) option remember; procname(n-1)*(8*n-2) end proc:

f(1):= 1:

map(f, [$1..20]); # Robert Israel, Mar 20 2018

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 13, 5!, 8}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)

CROSSREFS

Cf. A034176, A045755, A034908-A034911.

Sequence in context: A258491 A251220 A205619 * A250966 A213466 A303488

Adjacent sequences:  A034909 A034910 A034911 * A034913 A034914 A034915

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified February 19 22:36 EST 2020. Contains 332061 sequences. (Running on oeis4.)