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 A122011 G.f. x^2*(1+x)/(1-12*x+15*x^2-2*x^3). 2
 0, 1, 13, 141, 1499, 15899, 168585, 1787533, 18953419, 200965203, 2130856217, 22593703397, 239563527915, 2540118496459, 26933156445577, 285575226955869, 3027985613779691, 32106065273909411, 340424149534129305 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Limit a(n+1)/a(n) = 10.6031 for n-> infinity. REFERENCES "Linear Algebra, Examples and Applications" by Alain M. Robert, World Scientific, 2005, p. 58. LINKS Index entries for linear recurrences with constant coefficients, signature (12, -15, 2). FORMULA a(n)= 12*a(n-1) -15*a(n-2) +2*a(n-3). MATHEMATICA M = {{1, 1, 1}, {1, 2, 4}, {1, 3, 9}} v[1] = {1, 0, 0} v[n_] := v[n] = M.v[n - 1] a1 = Table[v[n][[3]], {n, 1, 50}] Rest[CoefficientList[Series[x^2(1+x)/(1-12x+15x^2-2x^3), {x, 0, 30}], x]] (* or *) LinearRecurrence[{12, -15, 2}, {0, 1, 13}, 30] (* Harvey P. Dale, Oct 26 2013 *) CROSSREFS Cf. A122009, A122010 Sequence in context: A263480 A210766 A045742 * A221103 A239250 A029483 Adjacent sequences: A122008 A122009 A122010 * A122012 A122013 A122014 KEYWORD nonn,easy AUTHOR Roger L. Bagula and Gary W. Adamson, Sep 11 2006 EXTENSIONS Definition replaced with generating function by the Assoc. Eds. of the OEIS, Mar 27 2010 STATUS approved

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Last modified December 1 08:20 EST 2022. Contains 358458 sequences. (Running on oeis4.)