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 A103768 #15 Mar 18 2024 12:05:24
%S A103768 0,0,6,46,228,930,3406,11682,38412,122806,385182,1192254,3656452,
%T A103768 11141178,33791934,102161962,308156748,928008846,2791497262,
%U A103768 8390220006,25203689700,75680274610,227185526766,681858569586,2046204853708
%N A103768 a(n) = (29*3^n - 18(n + 3)*2^n + 6n^2 + 24n + 27)/12.
%H A103768 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (10,-40,82,-91,52,-12).
%F A103768 a(n) = A078341(n, 3) = 3a(n-1)+n*A095151(n-1).
%F A103768 G.f.: -2*x^2*(x^3-4*x^2+7*x-3) / ((x-1)^3*(2*x-1)^2*(3*x-1)). - _Colin Barker_, Sep 13 2014
%t A103768 Table[(29*3^n-18(n+3)2^n+6n^2+24n+27)/12,{n,40}] (* or *) LinearRecurrence[ {10,-40,82,-91,52,-12},{0,0,6,46,228,930},40] (* _Harvey P. Dale_, Aug 31 2018 *)
%o A103768 (PARI) concat([0,0], Vec(-2*x^2*(x^3-4*x^2+7*x-3)/((x-1)^3*(2*x-1)^2*(3*x-1)) + O(x^100))) \\ _Colin Barker_, Sep 13 2014
%K A103768 nonn,easy
%O A103768 0,3
%A A103768 _Henry Bottomley_, Feb 15 2005