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%I #10 Sep 16 2023 15:55:56
%S 1,2,3,8,30,121,493,2011,8204,33469,136540,557028,2272449,9270673,
%T 37820597,154292742,629451995,2567909604,10476032782,42737977489,
%U 174353665921,711292452431,2901785575960,11838111735997
%N a(n+3) = 5*a(n+2)-4*a(n+1)+a(n).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4,1).
%F G.f. ( -1+3*x+3*x^2 ) / ( -1+5*x-4*x^2+x^3 ). a(n) = -3*A012814(n)+A012814(n+1) -3*A012814(n-1). - _R. J. Mathar_, Sep 20 2012
%t LinearRecurrence[{5,-4,1},{1,2,3},30] (* _Harvey P. Dale_, Sep 16 2023 *)
%Y Cf. A012855.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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