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 A297349 Number of edge covers in the 2 X n king graph. 1
 1, 41, 1201, 36281, 1094401, 33014921, 995960401, 30045123161, 906370788001, 27342474236201, 824840018262001, 24882936703189241, 750643185668251201, 22644641945255809481, 683120580615598976401, 20607688511425541428121, 621671836326816125138401 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..200 Eric Weisstein's World of Mathematics, Edge Cover Eric Weisstein's World of Mathematics, King Graph Index entries for linear recurrences with constant coefficients, signature (29,36,-24). FORMULA a(n) = 29*a(n-1) + 36*a(n-2) - 24*a(n-3) for n > 3. G.f.: x*(1 + 12*x - 24*x^2)/(1 - 29*x - 36*x^2 + 24*x^3). MATHEMATICA (* Start from Eric W. Weisstein, Dec 29 2017 *) Table[-RootSum[24 - 36 # - 29 #^2 + #^3 &, -9152 #^n - 1682 #^(n + 1) + 65 #^(n + 2) &]/16889, {n, 20}] -RootSum[24 - 36 # - 29 #^2 + #^3 &, #^Range[20] (-9152 - 1682 # + 65 #^2) &]/16889 LinearRecurrence[{29, 36, -24}, {1, 41, 1201}, 20] CoefficientList[Series[(1 + 12 x - 24 x^2)/(1 - 29 x - 36 x^2 + 24 x^3), {x, 0, 20}], x] (* End *) PROG (PARI) Vec(x*(1 + 12*x - 24*x^2)/(1 - 29*x - 36*x^2 + 24*x^3) + O(x^20)) CROSSREFS Row 2 of A297205. Sequence in context: A130639 A196744 A196902 * A014937 A275225 A275145 Adjacent sequences: A297346 A297347 A297348 * A297350 A297351 A297352 KEYWORD nonn AUTHOR Andrew Howroyd, Dec 28 2017 STATUS approved

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Last modified April 22 05:00 EDT 2024. Contains 371887 sequences. (Running on oeis4.)