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 A383873 #86 May 21 2025 01:22:29
%S A383873 1,2,3,10,34,97,273,795,2324,6747,19568,56830,165089,479447,1392313,
%T A383873 4043490,11743079,34103822,99042758,287636025,835341669,2425966747,
%U A383873 7045397028,20460965935,59421937484,172570865722,501173551873,1455488611595,4226973059649
%N A383873 a(n) = 3*a(n-1) - 2*a(n-2) + 5*a(n-3) starting with 1, 2, 3.
%C A383873 The sequence appears as an example of recurring series in "A Mathematical and Philosophical Dictionary" by Charles Hutton.
%H A383873 Vincenzo Librandi, <a href="/A383873/b383873.txt">Table of n, a(n) for n = 0..1000</a>
%H A383873 Charles Hutton, <a href="https://archive.org/details/b28771485_0002/page/440/mode/2up">Recurring Series</a>, A mathematical and philosophical dictionary Vol. 2 (1795), 440.
%H A383873 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2,5).
%F A383873 G.f.: (x^2+x-1)/(5*x^3-2*x^2+3*x-1). - _Alois P. Heinz_, May 19 2025
%t A383873 LinearRecurrence[{3,-2,5},{1,2,3},30] (* _Vincenzo Librandi_, May 21 2025 *)
%o A383873 (Magma) I:=[ 1, 2, 3]; [n le 3 select I[n] else 3*Self(n-1)-2*Self(n-2)+5*Self(n-3): n in [1..30]]; // _Vincenzo Librandi_, May 21 2025
%K A383873 nonn,easy
%O A383873 0,2
%A A383873 _Raul Prisacariu_, May 18 2025