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A175005 Expansion of x/(1 - 4*x + 3*x^2 - 2*x^3). 1

%I

%S 0,1,4,13,42,137,448,1465,4790,15661,51204,167413,547362,1789617,

%T 5851208,19130705,62548430,204504021,668632204,2186113613,7147565882,

%U 23369187097,76406277968,249812682345,816770269670,2670455587581

%N Expansion of x/(1 - 4*x + 3*x^2 - 2*x^3).

%C The limiting ratio a(n+1)/a(n) is 3.269530842081143....

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3,2).

%F a(n) = 4*a(n-1) - 3*a(n-2) + 2*a(n-3), starting 0, 1, 4.

%o (PARI) Vec(x/(1-4*x+3*x^2-2*x^3)+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%Y Cf. A000045, A174631, A000931, A111285.

%K nonn,easy

%O 0,3

%A _Roger L. Bagula_, Dec 02 2010

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Last modified July 13 04:01 EDT 2020. Contains 335673 sequences. (Running on oeis4.)