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 A122009 G.f. x*(1-11*x+6*x^2)/(1-12*x+15*x^2-2*x^3). 2
 1, 1, 3, 23, 233, 2457, 26035, 276031, 2926761, 31032737, 329043491, 3488884359, 36993025417, 392241126601, 4158975906675, 44098080031919, 467576804036105, 4957768399767825, 52567764896736163, 557381806372388791 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 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 Limit a(n+1)/a(n)=10.6031 as n-> infinity. 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][[1]], {n, 1, 50}] CROSSREFS Cf. A122011, A122010 Sequence in context: A068146 A162591 A278745 * A151433 A199750 A318004 Adjacent sequences:  A122006 A122007 A122008 * A122010 A122011 A122012 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 May 25 16:50 EDT 2022. Contains 354071 sequences. (Running on oeis4.)