A086603 a(n) = n^3*3^(n-1).
0, 1, 24, 243, 1728, 10125, 52488, 250047, 1119744, 4782969, 19683000, 78594219, 306110016, 1167575877, 4374822312, 16142520375, 58773123072, 211488540273, 753145430616, 2657317134051, 9298091736000, 32291110337661
Offset: 0
Links
- G. C. Greubel, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (12,-54,108,-81).
Programs
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GAP
List([0..30], n-> 3^(n-1)*n^3 ); # G. C. Greubel, Feb 08 2020
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Magma
[3^(n-1)*n^3: n in [0..30]]; // G. C. Greubel, Feb 08 2020
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Maple
seq( 3^(n-1)*n^3, n=0..30); # G. C. Greubel, Feb 08 2020
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Mathematica
Table[n^3 3^(n-1),{n,0,30}] (* Harvey P. Dale, Mar 12 2011 *) -
PARI
vector(31, n, my(m=n-1); 3^(m-1)*m^3) \\ G. C. Greubel, Feb 08 2020
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Sage
[3^(n-1)*n^3 for n in (0..30)] # G. C. Greubel, Feb 08 2020
Formula
From G. C. Greubel, Feb 08 2020: (Start)
G.f.: x*(1 + 12*x + 9*x^2)/(1-3*x)^4.
E.g.f.: x*(1 + 9*x + 9*x^2)*exp(x). (End)
Comments