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 A089154 Expansion of 2*x*(x+2) / ((x-1)*(x^2+6*x-1)). 1
 4, 30, 190, 1176, 7252, 44694, 275422, 1697232, 10458820, 64450158, 397159774, 2447408808, 15081612628, 92937084582, 572704120126, 3529161805344, 21747674952196, 134015211518526, 825838944063358, 5089048875898680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (7, -5, -1). FORMULA G.f.: 2*x*(x+2) / ((x-1)*(x^2+6*x-1)). [Colin Barker, Dec 02 2012] MATHEMATICA LinearRecurrence[{7, -5, -1}, {4, 30, 190}, 22] (* Hugo Pfoertner, Dec 18 2022 *) CoefficientList[Series[2x (x+2)/((x-1)(x^2+6x-1)), {x, 0, 20}], x] (* Harvey P. Dale, Jul 04 2024 *) PROG (PARI) (PARI) \\ Uses the empirical G.f. a89154(nmax) = {my (v = Vec (serlaplace (2*x*(x+2) / ((x-1)*(x^2+6*x-1)) + O(x^nmax)))); for (k=1, nmax-1, print1(v[k]/k!, ", "))}; a89154(22) \\ Hugo Pfoertner, Dec 18 2022 CROSSREFS Sequence in context: A132849 A115867 A057416 * A113450 A344399 A268218 Adjacent sequences: A089151 A089152 A089153 * A089155 A089156 A089157 KEYWORD nonn,easy,less AUTHOR Roger L. Bagula, Dec 06 2003 EXTENSIONS Edited and new name using g.f., Joerg Arndt, Dec 18 2022 STATUS approved

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Last modified July 23 21:46 EDT 2024. Contains 374575 sequences. (Running on oeis4.)