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 A291107 #8 Feb 16 2025 08:33:50
%S A291107 3,5,7,16,26,42,72,125,216,367,629,1079,1852,3173,5438,9323,15984,
%T A291107 27401,46971,80522,138039,236639,405665,695425,1192158,2043700,
%U A291107 3503484,6005970,10295947,17650192,30257465,51869927,88919855,152434004,261315377,447969116,767946883
%N A291107 Number of irredundant sets in the n-pan graph.
%C A291107 Extended to a(1)-a(2) using the formula/recurrence.
%H A291107 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IrredundantSet.html">Irredundant Set</a>
%H A291107 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PanGraph.html">Pan Graph</a>
%H A291107 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1, 0, 1, 0, -1).
%F A291107 a(n) = a(n-1) + a(n-2) + a(n-4) - a(n-6).
%F A291107 G.f.: (x (3 + 2 x - x^2 + 4 x^3 - 5 x^5))/(1 - x - x^2 - x^4 + x^6).
%t A291107 Table[RootSum[1 - #^2 - #^4 - #^5 + #^6 &, 59603 #^n - 12384 #^(1 + n) - 10700 #^(2 + n) + 17668 #^(3 + n) + 3457 #^(4 + n) + 1652 #^(5 + n) &]/89653, {n, 20}]
%t A291107 LinearRecurrence[{1, 1, 0, 1, 0, -1}, {3, 5, 7, 16, 26, 42, 72, 125}, 20]
%t A291107 CoefficientList[Series[(3 + 2 x - x^2 + 4 x^3 - 5 x^5)/(1 - x - x^2 - x^4 + x^6), {x, 0, 20}], x]
%K A291107 nonn
%O A291107 1,1
%A A291107 _Eric W. Weisstein_, Aug 17 2017