A198402 a(n) = 5^n * n^5.
0, 5, 800, 30375, 640000, 9765625, 121500000, 1313046875, 12800000000, 115330078125, 976562500000, 7863818359375, 60750000000000, 453238525390625, 3282617187500000, 23174285888671875, 160000000000000000, 1083264923095703125
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (30,-375,2500,-9375,18750,-15625).
Crossrefs
Programs
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Magma
[5^n*n^5: n in [0..20]]
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Mathematica
With[{m = 5}, Table[n^m*m^n, {n, 0, 30}]] (* G. C. Greubel, May 18 2022 *) -
PARI
a(n)=5^n*n^5 \\ Charles R Greathouse IV, Jul 06 2017
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SageMath
m=5; [n^m*m^n for n in (0..30)] # G. C. Greubel, May 18 2022
Formula
G.f.: 5*x*(1 + 130*x + 1650*x^2 + 3250*x^3 + 625*x^4)/(1-5*x)^6. - Colin Barker, Apr 30 2013
E.g.f.: 5*x*(1 + 75*x + 625*x^2 + 1250*x^3 + 625*x^4)*exp(5*x). - G. C. Greubel, May 18 2022