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A053105
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a(n) = ((7*n+9)(!^7))/9(!^7), related to A034829 (((7*n+2)(!^7))/2 sept-, or 7-factorials).
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3
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1, 16, 368, 11040, 408480, 17973120, 916629120, 53164488960, 3455691782400, 248809808332800, 19655974858291200, 1690413837813043200, 157208486916613017600, 15720848691661301760000
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OFFSET
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0,2
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COMMENTS
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Row m=9 of the array A(8; m,n) := ((7*n+m)(!^7))/m(!^7), m >= 0, n >= 0.
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LINKS
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FORMULA
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a(n) = ((7*n+9)(!^7))/9(!^7)= A034829(n+2)/9.
E.g.f.: 1/(1-7*x)^(16/7).
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MATHEMATICA
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CoefficientList[Series[1/(1-7x)^(16/7), {x, 0, 20}], x]Range[0, 20]! (* Harvey P. Dale, Sep 11 2011 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(1/(1-7*x)^(16/7))) \\ G. C. Greubel, Aug 16 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(1/(1-7*x)^(16/7))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Aug 16 2018
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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