This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A062074 #35 Dec 29 2024 14:28:02
%S A062074 0,3,72,729,5184,30375,157464,750141,3359232,14348907,59049000,
%T A062074 235782657,918330048,3502727631,13124466936,48427561125,176319369216,
%U A062074 634465620819,2259436291848,7971951402153,27894275208000,96873331012983,334145522716632,1145440056788109,3904305912313344
%N A062074 a(n) = n^3 * 3^n.
%H A062074 Harry J. Smith, <a href="/A062074/b062074.txt">Table of n, a(n) for n = 0..200</a>
%H A062074 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (12,-54,108,-81).
%F A062074 G.f.: 3*x*(1+12*x+9*x^2) / (1-3*x)^4. - _Colin Barker_, Apr 30 2013
%F A062074 a(n) = A000578(n) * A000244(n). - _Michel Marcus_, Apr 30 2021
%F A062074 E.g.f.: 3*x*(1 + 9*x + 9*x^2)*exp(3*x). - _G. C. Greubel_, May 10 2022
%F A062074 From _Amiram Eldar_, Jun 28 2022: (Start)
%F A062074 Sum_{n>=1} 1/a(n) = Li_3(1/3) = 0.3488278611... .
%F A062074 Sum_{n>=1} (-1)^(n+1)/a(n) = -Li_3(-1/3) = 0.3206509480... . (End)
%t A062074 Table[n^3 3^n,{n,0,20}] (* or *) LinearRecurrence[{12,-54,108,-81},{0,3,72,729},30] (* _Harvey P. Dale_, Jun 17 2014 *)
%o A062074 (PARI) a(n) = (n^3)*(3^n);
%o A062074 (SageMath) [3^n*n^3 for n in (0..30)] # _G. C. Greubel_, May 10 2022
%Y A062074 Cf. A000244, A000578.
%K A062074 easy,nonn
%O A062074 0,2
%A A062074 _Jason Earls_, Jun 27 2001