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A122009
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G.f. x*(1-11*x+6*x^2)/(1-12*x+15*x^2-2*x^3).
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2
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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; internal format)
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OFFSET
| 1,3
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REFERENCES
| "Linear Algebra, Examples and Applications" by Alain M. Robert, World Scientific, 2005, p. 58.
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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).
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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}]
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CROSSREFS
| Cf. A122011, A122010
Sequence in context: A007781 A068146 A162591 * A151433 A199750 A098681
Adjacent sequences: A122006 A122007 A122008 * A122010 A122011 A122012
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KEYWORD
| nonn,easy
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AUTHOR
| Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 11 2006
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EXTENSIONS
| Definition replaced with generating function by the Assoc. Eds. of the OEIS, Mar 27 2010
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