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%I #14 Oct 21 2024 07:49:36
%S 3,13,57,250,1097,4814,21126,92711,406861,1785505,7835670,34386757,
%T 150905930,662249126,2906273499,12754151453,55971462889,245630191042,
%U 1077945575073,4730553104614,20759983799798,91104976064543,399813253409277,1754576363517905,7699940382577342,33791109425623069
%N Expansion of ( 3-2*x-2*x^2 ) / ( 1-5*x+2*x^2+3*x^3 ).
%H Colin Barker, <a href="/A275634/b275634.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-2,-3).
%F a(n) = 5*a(n-1)-2*a(n-2)-3*a(n-3) for n>2. - _Colin Barker_, Aug 10 2016
%t LinearRecurrence[{5, -2, -3}, {3, 13, 57}, 30] (* _Paolo Xausa_, Oct 21 2024 *)
%o (PARI) Vec((3-2*x-2*x^2)/(1-5*x+2*x^2+3*x^3) + O(x^40)) \\ _Colin Barker_, Aug 10 2016
%Y Has same start as A010921 but is different from it.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_, Aug 09 2016