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 A360417 #35 Feb 10 2025 15:17:53
%S A360417 2,3,20,53,102,167,248,345,458,587,732,893,1070,1263,1472,1697,1938,
%T A360417 2195,2468,2757,3062,3383,3720,4073,4442,4827,5228,5645,6078,6527,
%U A360417 6992,7473,7970,8483,9012,9557,10118,10695,11288,11897,12522,13163,13820,14493,15182
%N A360417 a(n) = 8*n^2 - 7*n + 2.
%C A360417 This is one of the four quadratic sequences that, interleaved, yield A360418.
%H A360417 Ray Chandler, <a href="/A360417/b360417.txt">Table of n, a(n) for n = 0..1000</a>
%H A360417 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A360417 From _Elmo R. Oliveira_, Jan 28 2025: (Start)
%F A360417 G.f.: (17*x^2-3*x+2)/(1-x)^3.
%F A360417 E.g.f.: exp(x)*(2 + x + 8*x^2).
%F A360417 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n >= 3.
%F A360417 a(n) = A360418(4*n-1) for n>=1. (End)
%F A360417 a(n) = A125201(n) + 1, n >= 1. - _Omar E. Pol_, Jan 28 2025
%t A360417 Table[8*n^2 - 7*n + 2, {n, 0, 100}]
%Y A360417 Cf. A051870, A125201, A360416, A360418.
%K A360417 nonn,easy
%O A360417 0,1
%A A360417 _James Propp_, Feb 06 2023
%E A360417 a(0)=2 prepended and more terms from _Alois P. Heinz_, Jan 28 2025