A288835 - OEIS

%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