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%I #12 Mar 11 2024 23:11:24
%S 19683,38443359375,7625597484987,208728361158759,2334165173090451,
%T 15633814156853823,75084686279296875,285544154243029527,
%U 913517247483640899,2558036924386500591,6443858614676334363
%N a(n) = (12*n + 3)^9.
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
%F G.f.: (1/((-1+x)^10))*19683*(1 + 1953115*x + 367889284*x^2 + 6818184988*x^3 + 29742429982*x^4 + 39523450714*x^5 + 16677432820*x^6 + 1955297356*x^7 + 40156777*x^8 + 19683*x^9). - _Harvey P. Dale_, Jul 01 2021
%t (12*Range[0,20]+3)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{19683,38443359375,7625597484987,208728361158759,2334165173090451,15633814156853823,75084686279296875,285544154243029527,913517247483640899,2558036924386500591},20] (* _Harvey P. Dale_, Jul 01 2021 *)
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_