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 A144499 #14 Oct 08 2023 04:42:19
%S A144499 1,16,155,1633,19714,272501,4269271,74971240,1460701853,31295474659,
%T A144499 731658123646,18541725927671,506405138998225,14830681754924608,
%U A144499 463675143369795659,15415347314972132761,543080592733655070466,20211128647048824421085,792340775489805581958823
%N A144499 Column 3 of array in A144502.
%H A144499 Seiichi Manyama, <a href="/A144499/b144499.txt">Table of n, a(n) for n = 0..402</a>
%F A144499 (6*n-5)*a(n) = (12*n^2 +8*n +3)*a(n-1) + (6*n+1)*a(n-2). - _G. C. Greubel_, Oct 07 2023
%t A144499 a[n_]:= a[n]= If[n<2, 16^n, ((12*n^2+8*n+3)*a[n-1] +(6*n+1)*a[n-2])/(6*n-5)];
%t A144499 Table[a[n], {n, 0, 30}] (* _G. C. Greubel_, Oct 07 2023 *)
%o A144499 (Magma) [n le 2 select (16)^(n-1) else ((12*(n-1)^2+8*(n-1)+3)*Self(n-1) + (6*(n-1)+1)*Self(n-2) )/(6*(n-1) -5): n in [1..30]]; // _G. C. Greubel_, Oct 07 2023
%o A144499 (SageMath)
%o A144499 @CachedFunction
%o A144499 def a(n): # a = A144499
%o A144499 if n<2: return (16)^n
%o A144499 else: return ((12*n^2+8*n+3)*a(n-1) +(6*n+1)*a(n-2))/(6*n-5)
%o A144499 [a(n) for n in range(31)] # _G. C. Greubel_, Oct 07 2023
%Y A144499 Cf. A144502.
%K A144499 nonn
%O A144499 0,2
%A A144499 _David Applegate_ and _N. J. A. Sloane_, Dec 13 2008