A199687 7*10^n+1.

8, 71, 701, 7001, 70001, 700001, 7000001, 70000001, 700000001, 7000000001, 70000000001, 700000000001, 7000000000001, 70000000000001, 700000000000001, 7000000000000001, 70000000000000001, 700000000000000001, 7000000000000000001

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,-10).

Formula

a(n) = 10*a(n-1)-9.

a(n) = 11*a(n-1)-10*a(n-2).

G.f.: (8-17*x)/((1-x)*(1-10*x)).

Mathematica

7*10^Range[0, 20]+1 (* or *) LinearRecurrence[{11, -10}, {8, 71}, 20] (* Harvey P. Dale, May 29 2018 *)

Prog

(Magma) [7*10^n+1: n in [0..30]];

Crossrefs

Sequence in context: A152265 A081178 A096341 * A225033 A075506 A334670

Adjacent sequences: A199684 A199685 A199686 * A199688 A199689 A199690

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 09 2011

Status

approved