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 A036292 #33 Sep 09 2024 15:13:59
%S A036292 0,6,72,648,5184,38880,279936,1959552,13436928,90699264,604661760,
%T A036292 3990767616,26121388032,169789022208,1097098297344,7052774768640,
%U A036292 45137758519296,287753210560512,1828079220031488,11577835060199424,73123168801259520,460675963447934976
%N A036292 a(n) = n*6^n.
%H A036292 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-36).
%F A036292 a(n) = n*A000400(n). - _Michel Marcus_, Nov 09 2013
%F A036292 From _Vincenzo Librandi_, Apr 10 2016: (Start)
%F A036292 G.f.: 6*x/(1-6*x)^2.
%F A036292 a(n) = 12*a(n-1) - 36*a(n-2) for n > 1. (End)
%F A036292 From _Amiram Eldar_, Jul 20 2020: (Start)
%F A036292 Sum_{n>=1} 1/a(n) = log(6/5).
%F A036292 Sum_{n>=1} (-1)^(n+1)/a(n) = log(7/6). (End)
%F A036292 E.g.f.: 6*x*exp(6*x). - _Elmo R. Oliveira_, Sep 09 2024
%p A036292 A036292:=n->n*6^n; seq(A036292(n), n=0..50); # _Wesley Ivan Hurt_, Nov 09 2013
%t A036292 Table[n*6^n, {n,0,50}] (* _Wesley Ivan Hurt_, Nov 08 2013 *)
%t A036292 LinearRecurrence[{12, -36}, {0, 6}, 25] (* _Vincenzo Librandi_, Apr 10 2016 *)
%o A036292 (PARI) a(n) = n*6^n; \\ _Michel Marcus_, Nov 09 2013
%o A036292 (Magma) [n*6^n: n in [0..30]]; // _Vincenzo Librandi_, Apr 10 2016
%Y A036292 Cf. A000400.
%K A036292 nonn,easy
%O A036292 0,2
%A A036292 _N. J. A. Sloane_