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 A357281 #60 Oct 15 2023 16:24:50
%S A357281 1,9,79,355,1077,2581,5299,9759,16585,26497,40311,58939,83389,114765,
%T A357281 154267,203191,262929,334969,420895,522387,641221,779269,938499,
%U A357281 1120975,1328857,1564401,1829959,2127979,2461005,2831677,3242731,3696999,4197409
%N A357281 The numbers of a square spiral with 1 in the center, lying at integer points of the right branch of the parabola y=n^2.
%C A357281 On a square spiral with 1 in the center is a parabola y=n^2. The coordinate system is defined by the On and Oy axes, which intersect at the center of the spiral. The points of the parabola with integer coordinates located on the right branch of the parabola y=n^2 determine the terms of the sequence. In the attached figure, the terms are highlighted in red cells.
%H A357281 Nicolay Avilov, <a href="/A357281/a357281_1.jpg">Figure illustrating the terms a(0) - a(3)</a>
%H A357281 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A357281 a(n) = 4*n^4 + 3*n^2 + n + 1.
%F A357281 a(n) = 4*A000583(n) + A056108(n).
%F A357281 G.f.: (1 + 4*x + 44*x^2 + 40*x^3 + 7*x^4)/(1 - x)^5. - _Stefano Spezia_, Sep 24 2022
%e A357281 a(0) = 1;
%e A357281 a(4) = 4*4^4 + 3*4^2 + 4 + 1 = 1024 + 48 + 5 = 1077.
%t A357281 LinearRecurrence[{5,-10,10,-5,1},{1,9,79,355,1077},40] (* _Harvey P. Dale_, Oct 15 2023 *)
%Y A357281 Cf. A033951 (x axes), A054552 (y axes).
%Y A357281 Cf. A000583, A056108.
%K A357281 nonn,easy
%O A357281 0,2
%A A357281 _Nicolay Avilov_, Sep 22 2022