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A051604 a(n) = (3*n+4)!!!/4!!! 9
1, 7, 70, 910, 14560, 276640, 6086080, 152152000, 4260256000, 132067936000, 4490309824000, 166141463488000, 6645658539520000, 285763317199360000, 13145112591170560000, 644110516967357440000, 33493746882302586880000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Related to A007559(n+1) ((3*n+1)!!! triple factorials).

Row m=4 of the array A(4; m,n) := ((3*n+m)(!^3))/m(!^3), m >= 0, n >= 0.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..378

FORMULA

a(n) = ((3*n+4)(!^3))/4(!^3).

E.g.f.: 1/(1-3*x)^(7/3).

MATHEMATICA

With[{nn = 30}, CoefficientList[Series[1/(1-3*x)^(7/3), {x, 0, nn}], x]* Range[0, nn]! ] (* G. C. Greubel, Aug 15 2018 *)

PROG

(PARI) x='x+O('x^30); Vec(serlaplace(1/(1-3*x)^(7/3))) \\ G. C. Greubel, Aug 15 2018

(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-3*x)^(7/3))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Aug 15 2018

CROSSREFS

Cf. A032031, A007559(n+1), A034000(n+1), A034001(n+1). (rows m=0..3).

Sequence in context: A124566 A141151 A001669 * A346668 A097630 A090647

Adjacent sequences: A051601 A051602 A051603 * A051605 A051606 A051607

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified November 26 20:01 EST 2022. Contains 358362 sequences. (Running on oeis4.)