A198963 a(n) = 6*9^n-1.

5, 53, 485, 4373, 39365, 354293, 3188645, 28697813, 258280325, 2324522933, 20920706405, 188286357653, 1694577218885, 15251194969973, 137260754729765, 1235346792567893, 11118121133111045, 100063090197999413, 900567811781994725, 8105110306037952533

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-9).

Formula

a(n) = 9*a(n-1)+8.

a(n) = 10*a(n-1)-9*a(n-2), n>1.

G.f.: (3*x+5)/(9*x^2-10*x+1). - Harvey P. Dale, Nov 16 2011

Mathematica

6*9^Range[0, 20]-1 (* or *) LinearRecurrence[{10, -9}, {5, 53}, 25] (* Harvey P. Dale, Nov 16 2011 *)

Prog

(Magma) [6*9^n-1: n in [0..20]];

Crossrefs

Sequence in context: A173879 A058390 A221236 * A293082 A069592 A350995

Adjacent sequences: A198960 A198961 A198962 * A198964 A198965 A198966

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 01 2011

Status

approved