A169601 a(n) = (10^n-1)^2 + 2.

2, 83, 9803, 998003, 99980003, 9999800003, 999998000003, 99999980000003, 9999999800000003, 999999998000000003, 99999999980000000003, 9999999999800000000003, 999999999998000000000003

Offset

0,1

Links

Table of n, a(n) for n=0..12.

Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).

Formula

G.f.: -(2810*x^2-139*x+2)/((x-1)*(100*x-1)*(10*x-1)).

Mathematica

(10^Range[0, 20]-1)^2+2 (* Harvey P. Dale, Jan 08 2019 *)

Prog

(PARI) for(n=0, 20, print1((10^n-1)^2+2", "))

Crossrefs

Sequence in context: A232770 A317724 A099373 * A367900 A205643 A215263

Adjacent sequences: A169598 A169599 A169600 * A169602 A169603 A169604

Keyword

nonn,easy

Author

Jason Earls, Dec 03 2009

Status

approved