A173770 a(n)=(4*10^n-13)/9.

3, 43, 443, 4443, 44443, 444443, 4444443, 44444443, 444444443, 4444444443, 44444444443, 444444444443, 4444444444443, 44444444444443, 444444444444443, 4444444444444443, 44444444444444443, 444444444444444443

Offset

1,1

Links

Table of n, a(n) for n=1..18.

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

Formula

a(n)=10*a(n-1)+13 (with a(1)=3).

G.f. x*(3+10*x) / ( (10*x-1)*(x-1) ). - R. J. Mathar, Aug 23 2011

Example

For n=2, a(2)=10*3+13=43; n=3, a(3)=10*43+13=443; n=4, a(4)=10*443+13=4443

Crossrefs

Cf. A093163

Sequence in context: A138974 A036940 A099664 * A093163 A199020 A211959

Adjacent sequences: A173767 A173768 A173769 * A173771 A173772 A173773

Keyword

nonn

Author

Vincenzo Librandi, Feb 24 2010

Status

approved