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 A370846 #10 Mar 06 2024 10:49:52
%S A370846 0,24,96,168,1200,3960,16128,66888,259152,1052184,4195488,16759272,
%T A370846 67158000,268359864,1073772096,4295178888,17179113360,68720897880,
%U A370846 274876666848,1099509663528,4398057364272,17592161341944,70368774872448,281474983436232,1125899763886800
%N A370846 a(n) = 5 + 4^n + 3*((-i*sqrt(7) - 3)^n + (i*sqrt(7) - 3)^n)/2^n.
%C A370846 For n > 2 and n != 0 (mod 3), also the number of minimum vertex colorings in the n-antiprism graph.
%H A370846 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AntiprismGraph.html">Antiprism Graph</a>.
%H A370846 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimumVertexColoring.html">Minimum Vertex Coloring</a>.
%H A370846 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,7,8,-16).
%F A370846 a(n) = 5 + A000302(n) + 3*A128415(n).
%F A370846 a(n) = 2*a(n-1) + 7*a(n-2) + 8*a(n-3) - 16*a(n-4).
%F A370846 G.f.: -24*x^2*(-1+2*x)*(1+4*x)/((-1+x)*(-1+4*x)*(1+3*x+4*x^2)).
%t A370846 Table[5 + 4^n + 3 ((-I Sqrt[7] - 3)^n + (I Sqrt[7] - 3)^n)/2^n, {n, 25}]
%t A370846 LinearRecurrence[{2, 7, 8, -16}, {0, 24, 96, 168}, 20]
%t A370846 CoefficientList[Series[-(24 x (-1 + 2 x) (1 + 4 x)/((-1 + x) (-1 + 4 x) (1 + 3 x + 4 x^2))), {x, 0, 20}], x]
%K A370846 nonn,easy
%O A370846 1,2
%A A370846 _Eric W. Weisstein_, Mar 03 2024