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%I #12 Oct 24 2023 20:29:23
%S 0,1,10,57,260,1055,3990,14413,50440,172539,580250,1926089,6328140,
%T 20619703,66732190,214742085,687698960,2193154547,6968850210,
%U 22073006401,69714716500,219623377071,690291036710
%N a(n) = n*(3^n - 2^n).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (10,-37,60,-36).
%F From _R. J. Mathar_, Feb 10 2022: (Start)
%F G.f.: -x*(-1+6*x^2) / ( (3*x-1)^2*(2*x-1)^2 ).
%F a(n) = A036290(n) - A036289(n). (End)
%t Table[n(3^n-2^n),{n,0,30}] (* or *) LinearRecurrence[{10,-37,60,-36},{0,1,10,57},30] (* _Harvey P. Dale_, Sep 04 2023 *)
%Y Equals n * A001047(n).
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_
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