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%I #25 Apr 04 2020 20:35:13
%S 6,45,243,1134,4860,19683,76545,288684,1062882,3838185,13640319,
%T 47829690,165809592,569173311,1937102445,6543101592,21953827710,
%U 73222472421,242912646603,801960412230,2636009007156,8629791392475,28148810469273,91507169819844
%N a(n) = (1/2!)*3^n*(n+3)*(n).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (9, -27, 27).
%F O.g.f.: z*3^1*(2-3*z)/(1-3*z)^3.
%F a(n) = A287768(n+3,4).
%t Table[(1/2!)*3^n*(n + 3) n, {n, 24}] (* _Michael De Vlieger_, Jun 23 2017 *)
%t LinearRecurrence[{9,-27,27},{6,45,243},30] (* _Harvey P. Dale_, Apr 04 2020 *)
%Y Column k=4 of A287768.
%Y Cf. A288834, A288836, A288838.
%K nonn
%O 1,1
%A _Gregory Gerard Wojnar_, Jun 17 2017
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