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 A287430 #14 Feb 16 2025 08:33:46 %S A287430 115,1063,9121,75607,611569,4857223,38034241,294475447,2258978449, %T A287430 17196401383,130059675361,978211787287,7322040929329,54576195433543, %U A287430 405286730532481,2999780651211127,22137879320864209,162941058582753703,1196418733436205601 %N A287430 Number of connected dominating sets in the 2n-crossed prism graph. %H A287430 Andrew Howroyd, <a href="/A287430/b287430.txt">Table of n, a(n) for n = 2..200</a> %H A287430 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ConnectedDominatingSet.html">Connected Dominating Set</a> %H A287430 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CrossedPrismGraph.html">Crossed Prism Graph</a> %H A287430 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14, -49). %F A287430 From _Andrew Howroyd_, Sep 05 2017: (Start) %F A287430 a(n) = 7^n + 240*n*7^(n-3) for n > 2. %F A287430 a(n) = 14*a(n-1) - 49*a(n-2) for n > 4. %F A287430 G.f.: x^2*(115 - 547*x - 126*x^2)/(1 - 7*x)^2. %F A287430 (End) %t A287430 Join[{115}, Table[7^(n - 3) (343 + 240 n), {n, 3, 20}]] %t A287430 LinearRecurrence[{14, -49}, {115, 1063, 9121}, 19] (* amended by _Georg Fischer_, Apr 03 2019 *) %t A287430 CoefficientList[Series[(115 - 547 x - 126 x^2)/(-1 + 7 x)^2, {x, 0, 20}], x] %o A287430 (PARI) Vec((115 - 547*x - 126*x^2)/(1 - 7*x)^2 + O(x^20)) \\ _Andrew Howroyd_, Sep 05 2017 %Y A287430 Cf. A287062, A290757. %K A287430 nonn %O A287430 2,1 %A A287430 _Eric W. Weisstein_, May 25 2017 %E A287430 Terms a(6) and beyond from _Andrew Howroyd_, Sep 05 2017