A198403 a(n) = 6^n * n^6.
0, 6, 2304, 157464, 5308416, 121500000, 2176782336, 32934190464, 440301256704, 5355700839936, 60466176000000, 642717115324416, 6499837226778624, 63041475422674944, 590045794670739456, 5355700839936000000
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (42,-756,7560,-45360,163296,-326592,279936).
Crossrefs
Programs
-
Magma
[6^n*n^6: n in [0..20]]
-
Mathematica
With[{m=6}, Table[n^m*m^n, {n,0,30}]] (* G. C. Greubel, May 18 2022 *) -
PARI
a(n)=6^n*n^6 \\ Charles R Greathouse IV, Jul 06 2017
-
SageMath
m=6; [n^m*m^n for n in (0..30)] # G. C. Greubel, May 18 2022
Formula
G.f.: 6*x*(1 + 336*x + 8856*x^2 + 12096*x^3 + 1296*x^4)/(1-6*x)^7. - Colin Barker, Apr 30 2013
E.g.f.: 6*x*(1 + 186*x + 3240*x^2 + 14040*x^3 + 19440*x^4 + 7776*x^5)*exp(6*x). - G. C. Greubel, May 18 2022
a(n) = 42*a(n-1) - 756*a(n-2) + 7560*a(n-3) - 45360*a(n-4) + 163296*a(n-5) - 326592*a(n-6) + 279936*a(n-7). - Wesley Ivan Hurt, Sep 04 2022