A173734 (10^n+62)/9 for n>0.

8, 18, 118, 1118, 11118, 111118, 1111118, 11111118, 111111118, 1111111118, 11111111118, 111111111118, 1111111111118, 11111111111118, 111111111111118, 1111111111111118, 11111111111111118, 111111111111111118

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..100

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

Formula

a(n) = a(n-1)+10^(n-1)= 10*a(n-1)-62 with n>0, a(0)=7.

G.f.: x*(8-70*x)/((1-x)*(1-10*x)). - Vincenzo Librandi, Jul 05 2012

a(n) = 11*a(n-1) -10*a(n-2). - Vincenzo Librandi, Jul 05 2012

Mathematica

CoefficientList[Series[(8-70*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)

Prog

(Magma) [(10^n+62)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012

Crossrefs

Sequence in context: A151351 A354769 A113563 * A219524 A259852 A215174

Adjacent sequences: A173731 A173732 A173733 * A173735 A173736 A173737

Keyword

nonn,easy

Author

Vincenzo Librandi, Feb 23 2010

Status

approved