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 A360416 #25 Feb 10 2025 15:15:27
%S A360416 3,2,17,48,95,158,237,332,443,570,713,872,1047,1238,1445,1668,1907,
%T A360416 2162,2433,2720,3023,3342,3677,4028,4395,4778,5177,5592,6023,6470,
%U A360416 6933,7412,7907,8418,8945,9488,10047,10622,11213,11820,12443,13082,13737,14408,15095
%N A360416 a(n) = 8*n^2 - 9*n + 3.
%C A360416 This is one of the four quadratic sequences that, interleaved, yield A360418.
%H A360416 Ray Chandler, <a href="/A360416/b360416.txt">Table of n, a(n) for n = 0..1000</a>
%H A360416 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
%F A360416 From _Elmo R. Oliveira_, Jan 28 2025: (Start)
%F A360416 G.f.: (3 - 7*x + 20*x^2)/(1 - x)^3.
%F A360416 E.g.f.: (3 - x + 8*x^2)*exp(x).
%F A360416 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n >= 3.
%F A360416 a(n) = A360418(4*n-2) for n >= 1. (End)
%t A360416 Table[8*n^2 - 9*n + 3, {n, 0, 100}]
%Y A360416 Cf. A360417, A360418.
%K A360416 nonn,easy
%O A360416 0,1
%A A360416 _James Propp_, Feb 06 2023
%E A360416 a(0)=3 prepended and more terms from _Elmo R. Oliveira_, Jan 28 2025