A288835 a(n) = (1/2!)*3^n*(n+3)*(n).

6, 45, 243, 1134, 4860, 19683, 76545, 288684, 1062882, 3838185, 13640319, 47829690, 165809592, 569173311, 1937102445, 6543101592, 21953827710, 73222472421, 242912646603, 801960412230, 2636009007156, 8629791392475, 28148810469273, 91507169819844

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Index entries for linear recurrences with constant coefficients, signature (9, -27, 27).

Formula

O.g.f.: z*3^1*(2-3*z)/(1-3*z)^3.

a(n) = A287768(n+3,4).

Mathematica

Table[(1/2!)*3^n*(n + 3) n, {n, 24}] (* Michael De Vlieger, Jun 23 2017 *)
LinearRecurrence[{9, -27, 27}, {6, 45, 243}, 30] (* Harvey P. Dale, Apr 04 2020 *)

Crossrefs

Column k=4 of A287768.

Cf. A288834, A288836, A288838.

Sequence in context: A122096 A302709 A054563 * A162230 A258350 A258623

Adjacent sequences: A288832 A288833 A288834 * A288836 A288837 A288838

Keyword

nonn

Author

Gregory Gerard Wojnar, Jun 17 2017

Status

approved