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A034724 a(n) = n-th sextic factorial number divided by 4. 10
1, 10, 160, 3520, 98560, 3351040, 134041600, 6165913600, 320627507200, 18596395417600, 1190169306726400, 83311851470848000, 6331700711784448000, 519199458366324736000, 45689552336236576768000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

FORMULA

4*a(n) = (6*n-2)(!^6) = product_{j=1..n} (6*j-2).

a(n) = 2^(n+1)*A034000(n), 2*A034000(n) = (3*n-1)(!^3).

E.g.f.: (-1 + (1-6*x)^(-2/3))/4.

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 9, 5!, 6}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)

With[{nn=20}, CoefficientList[Series[((1-6x)^(-2/3)-1)/4, {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jun 02 2017 *)

CROSSREFS

Cf. A034000, A008542, A034689.

Sequence in context: A106261 A112125 A090374 * A234283 A074703 A190903

Adjacent sequences:  A034721 A034722 A034723 * A034725 A034726 A034727

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified March 24 01:20 EDT 2019. Contains 321444 sequences. (Running on oeis4.)