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 A082113 #13 Dec 23 2022 07:52:03
%S A082113 1,7,37,127,337,751,1477,2647,4417,6967,10501,15247,21457,29407,39397,
%T A082113 51751,66817,84967,106597,132127,162001,196687,236677,282487,334657,
%U A082113 393751,460357,535087,618577,711487,814501,928327,1053697,1191367
%N A082113 a(n) = n^4 + 5*n^2 + 1.
%C A082113 Main diagonal of number array A082110.
%H A082113 G. C. Greubel, <a href="/A082113/b082113.txt">Table of n, a(n) for n = 0..1000</a>
%H A082113 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A082113 a(n) = n^4 + 5*n^2 + 1.
%F A082113 G.f.: (1+2*x+12*x^2+2*x^3+7*x^4) / (1-x)^5. - _R. J. Mathar_, Dec 03 2014
%F A082113 E.g.f.: (1 + 6*x + 12*x^2 + 6*x^3 + x^4)*exp(x). - _G. C. Greubel_, Dec 22 2022
%t A082113 Table[n^4+5n^2+1,{n,0,40}] (* or *) LinearRecurrence[{5,-10,10,-5,1},{1,7,37,127,337},40] (* _Harvey P. Dale_, May 16 2019 *)
%o A082113 (Magma) [n^4+5*n^2+1: n in [0..40]]; // _G. C. Greubel_, Dec 22 2022
%o A082113 (SageMath) [n^4+5*n^2+1 for n in range(41)] # _G. C. Greubel_, Dec 22 2022
%Y A082113 Cf. A082044, A082047, A082106.
%K A082113 easy,nonn
%O A082113 0,2
%A A082113 _Paul Barry_, Apr 04 2003