A083583 a(n) = (8*3^n - 5*0^n)/3.

1, 8, 24, 72, 216, 648, 1944, 5832, 17496, 52488, 157464, 472392, 1417176, 4251528, 12754584, 38263752, 114791256, 344373768, 1033121304, 3099363912, 9298091736, 27894275208, 83682825624, 251048476872, 753145430616, 2259436291848

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (3).

Formula

a(n) = (8*3^n - 5*0^n)/3.

G.f.: (1+5*x)/(1-3*x).

E.g.f.: (8*exp(3x) - 5*exp(0))/3.

a(n) = A005051(n-1), n > 0. - R. J. Mathar, Sep 17 2008

Mathematica

Join[{1}, NestList[3#&, 8, 30]] (* Harvey P. Dale, Apr 08 2020 *)

Prog

(Magma) [(8*3^n-5*(0)^n)/3: n in [0..30]]; // Vincenzo Librandi, Jun 10 2011

Crossrefs

Cf. A083854.

Sequence in context: A200253 A343546 A199911 * A005051 A303402 A078158

Adjacent sequences: A083580 A083581 A083582 * A083584 A083585 A083586

Keyword

easy,nonn

Author

Paul Barry, May 01 2003

Status

approved