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(n^3+n)*6^n.
1

%I #12 Sep 08 2022 08:45:30

%S 12,360,6480,88128,1010880,10357632,97977600,873400320,7437339648,

%T 61070837760,486873649152,3787601264640,28864133775360,

%U 216128364576768,1593927097712640,11600403939459072,83448431062548480

%N (n^3+n)*6^n.

%H Vincenzo Librandi, <a href="/A128043/b128043.txt">Table of n, a(n) for n = 1..1000</a>

%F G.f.: 12*x*(1 + 6*x + 36*x^2)/(1 - 6*x)^4. - _Vincenzo Librandi_, Feb 22 2013

%t Table[(n^3 + n) * 6^n, {n, 30}] (* or *) CoefficientList[Series[12 (1 + 6 x + 36 x^2)/(1 - 6 x)^4, {x, 0, 30}], x] (* _Vincenzo Librandi_, Feb 22 2013 *)

%o (Magma) [(n^3 + n)*6^n: n in [1..20]]; // _Vincenzo Librandi_, Feb 22 2013

%Y Cf. A128796, A128960, A128985, A129002.

%K nonn,easy

%O 1,1

%A _Mohammad K. Azarian_, May 02 2007