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 A134874 Expansion of 1/(1 - 137 x - 133 x^4). 0
 1, 137, 18769, 2571353, 352275494, 48261760899, 6611863739440, 905825674293229, 124098164230813075, 17001454918435590842, 2329200203203553290874, 319100548313701481849195 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS From characteristic polynomial of the matrix: {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {133, 0, 0, 137}}. Polynomial base is Pisot and the large positiuve root is near 1/alpha: 137.00005172368373... LINKS FORMULA a(n) =Expansion(1/(1 - 137 x - 133 x^4)) MATHEMATICA mc = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {133, 0, 0, 137}}; f[x_] = CharacteristicPolynomial[mc, x]; g[x_] = Expand[x^4*f[1/x]]; Table[ SeriesCoefficient[Series[1/g[x], {x, 0, 30}], n], {n, 0, 30}] CROSSREFS Sequence in context: A261973 A103878 A068154 * A064104 A300407 A122703 Adjacent sequences:  A134871 A134872 A134873 * A134875 A134876 A134877 KEYWORD nonn AUTHOR Roger L. Bagula, Jan 29 2008 STATUS approved

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Last modified August 8 11:31 EDT 2020. Contains 336298 sequences. (Running on oeis4.)