A191468 8^n - 5^n.

0, 3, 39, 387, 3471, 29643, 246519, 2019027, 16386591, 132264603, 1063976199, 8541106467, 68475336111, 548535110763, 4391942995479, 35153854510707, 281322388820031, 2251036874232123, 18010583812216359, 144096114589527747, 1152826137175206351

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (13,-40).

Formula

a(n) = 13*a(n-1) - 40*a(n-2).

G.f.: 3*x/((1-5*x)*(1-8*x)). - Vincenzo Librandi, Oct 05 2014

a(n+1) = 3*A016162(n). - Vincenzo Librandi, Oct 05 2014

Mathematica

Table[8^n-5^n, {n, 0, 20}] (* or *) LinearRecurrence[{13, -40}, {0, 3}, 30] (* Harvey P. Dale, Dec 04 2012 *)
CoefficientList[Series[3 x/((1 - 5 x) (1 - 8 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 05 2014 *)

Prog

(Magma) [8^n - 5^n: n in [0..20]];
(PARI) a(n)=8^n-5^n \\ Charles R Greathouse IV, Jun 08 2011

Crossrefs

Cf. A016162, A016177.

Sequence in context: A050392 A292294 A366995 * A203243 A063035 A198970

Adjacent sequences: A191465 A191466 A191467 * A191469 A191470 A191471

Keyword

nonn,easy

Author

Vincenzo Librandi, Jun 03 2011

Status

approved