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 A360201 #10 Feb 16 2025 08:34:04
%S A360201 1,8,25,58,117,218,387,666,1123,1868,3079,5044,8229,13388,21741,35262,
%T A360201 57145,92558,149863,242590,392631,635408,1028235,1663848,2692297,
%U A360201 4356368,7048897,11405506,18454653,29860418,48315339,78176034,126491659,204667988
%N A360201 Number of induced paths in the n-ladder graph P_2 X P_n.
%H A360201 Andrew Howroyd, <a href="/A360201/b360201.txt">Table of n, a(n) for n = 1..1000</a>
%H A360201 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LadderGraph.html">Ladder Graph</a>
%H A360201 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2,-1,1)
%F A360201 a(n) = 3*a(n-1) - 2*a(n-2) - a(n-3) + a(n-4) for n > 4.
%F A360201 G.f.: x*(1 + 5*x + 3*x^2)/((1 - x)^2*(1 - x - x^2)).
%t A360201 LinearRecurrence[{3,-2,-1,1},{1,8,25,58},40] (* _Harvey P. Dale_, Dec 28 2023 *)
%o A360201 (PARI) Vec((1 + 5*x + 3*x^2)/((1 - x)^2*(1 - x - x^2)) + O(x^40))
%Y A360201 Row 2 of A360199.
%K A360201 nonn,easy
%O A360201 1,2
%A A360201 _Andrew Howroyd_, Jan 29 2023