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%I #11 Jul 28 2015 15:36:31
%S 1,1,3,23,233,2457,26035,276031,2926761,31032737,329043491,3488884359,
%T 36993025417,392241126601,4158975906675,44098080031919,
%U 467576804036105,4957768399767825,52567764896736163,557381806372388791
%N G.f. x*(1-11*x+6*x^2)/(1-12*x+15*x^2-2*x^3).
%D "Linear Algebra, Examples and Applications" by Alain M. Robert, World Scientific, 2005, p. 58.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12, -15, 2).
%F Limit a(n+1)/a(n)=10.6031 as n-> infinity.
%F a(n)= 12*a(n-1) -15*a(n-2) +2*a(n-3).
%t 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}]
%Y Cf. A122011, A122010
%K nonn,easy
%O 1,3
%A _Roger L. Bagula_ and _Gary W. Adamson_, Sep 11 2006
%E Definition replaced with generating function by the Assoc. Eds. of the OEIS, Mar 27 2010