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 A347501 Number of dominating sets in the n-alkane graph. 1
 17, 81, 405, 2025, 10125, 50625, 253125, 1265625, 6328125, 31640625, 158203125, 791015625, 3955078125, 19775390625, 98876953125, 494384765625, 2471923828125, 12359619140625, 61798095703125, 308990478515625, 1544952392578125, 7724761962890625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, Alkane Graph Eric Weisstein's World of Mathematics, Dominating Set Index entries for linear recurrences with constant coefficients, signature (5). FORMULA a(n) = 81*5^(n-2) for n > 1. G.f.: x*(4*x - 17)/(5*x - 1). E.g.f.: (81*exp(5*x) + 20*x - 81)/25. - Stefano Spezia, Sep 04 2021 MATHEMATICA Join[{17}, LinearRecurrence[{5}, {81}, 20]] CoefficientList[Series[(4 x - 17)/(5 x - 1), {x, 0, 20}], x] CROSSREFS Cf. A180148, A228602, A347478. Sequence in context: A100688 A044204 A044585 * A197397 A354012 A053826 Adjacent sequences: A347498 A347499 A347500 * A347502 A347503 A347504 KEYWORD nonn,easy AUTHOR Eric W. Weisstein, Sep 04 2021 STATUS approved

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Last modified January 30 16:07 EST 2023. Contains 359945 sequences. (Running on oeis4.)