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A288835
a(n) = (1/2!)*3^n*(n+3)*(n).
3
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
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.
Sequence in context: A122096 A302709 A054563 * A162230 A258350 A258623
KEYWORD
nonn
AUTHOR
STATUS
approved