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 A059410 #28 Mar 31 2025 17:57:16
%S A059410 0,6,72,702,6480,58806,530712,4780782,43040160,387400806,3486725352,
%T A059410 31380882462,282429005040,2541864234006,22876787671992,
%U A059410 205891117745742,1853020145805120,16677181570526406,150094634909578632,1350851716510730622,12157665455570144400,109418989121052006006
%N A059410 J_n(9) (see A059379).
%D A059410 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 199, #3.
%H A059410 Vincenzo Librandi, <a href="/A059410/b059410.txt">Table of n, a(n) for n = 0..200</a>
%H A059410 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-27).
%F A059410 a(n) = 9^n - 3^n; a(n) = 12*a(n-1) - 27*a(n-2) for n > 1. - _Vincenzo Librandi_, Jun 03 2011
%F A059410 From _Vincenzo Librandi_, Oct 04 2014: (Start)
%F A059410 a(n) = 3^n*(3^n-1) = A000244(n)*A024023(n).
%F A059410 G.f.: 6*x/((1-3*x)*(1-9*x)). (End)
%F A059410 a(n) = 6*A016142(n). - _R. J. Mathar_, Nov 23 2018
%F A059410 E.g.f.: 2*exp(6*x)*sinh(3*x). - _Elmo R. Oliveira_, Mar 31 2025
%p A059410 A059410:=n->9^n-3^n: seq(A059410(n), n=0..30); # _Wesley Ivan Hurt_, Aug 16 2016
%t A059410 Table[9^n - 3^n, {n, 0, 25}] (* or *) CoefficientList[Series[6 x /((1 - 3 x) (1 - 9 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 04 2014 *)
%o A059410 (Magma) [9^n-3^n: n in [0..20]]; // _Vincenzo Librandi_, Jun 03 2011
%Y A059410 Cf. A000244, A016142, A024023, A059379, A059380, A059409.
%K A059410 nonn,easy
%O A059410 0,2
%A A059410 _N. J. A. Sloane_, Jan 30 2001