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 A307702 #12 Feb 16 2025 08:33:55 %S A307702 1,4,11,41,161,641,2561,10241,40961,163841,655361,2621441,10485761, %T A307702 41943041,167772161,671088641,2684354561,10737418241,42949672961, %U A307702 171798691841,687194767361,2748779069441,10995116277761,43980465111041,175921860444161,703687441776641 %N A307702 Clique covering number of the n-Sierpinski tetrahedron graph. %H A307702 Colin Barker, <a href="/A307702/b307702.txt">Table of n, a(n) for n = 1..1000</a> %H A307702 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CliqueCoveringNumber.html">Clique Covering Number</a> %H A307702 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SierpinskiTetrahedronGraph.html">Sierpinski Tetrahedron Graph</a> %H A307702 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4). %F A307702 a(n) = A199209(n-2) = 10*4^(n-3) for n >= 3. %F A307702 From _Colin Barker_, Jul 20 2019: (Start) %F A307702 G.f.: x*(1 + 2*x)*(1 - 3*x + x^2) / ((1 - x)*(1 - 4*x)). %F A307702 a(n) = 5*a(n-1) - 4*a(n-2) for n>4. %F A307702 (End) %o A307702 (PARI) Vec(x*(1 + 2*x)*(1 - 3*x + x^2) / ((1 - x)*(1 - 4*x)) + O(x^30)) \\ _Colin Barker_, Jul 20 2019 %Y A307702 Cf. A199209. %K A307702 nonn,easy %O A307702 1,2 %A A307702 _Eric W. Weisstein_, Apr 22 2019 %E A307702 More terms from _Colin Barker_, Jul 20 2019