A171248 a(n) = 10^n*(2+3*10^n)+3.

8, 323, 30203, 3002003, 300020003, 30000200003, 3000002000003, 300000020000003, 30000000200000003, 3000000002000000003, 300000000020000000003, 30000000000200000000003, 3000000000002000000000003, 300000000000020000000000003, 30000000000000200000000000003

Offset

0,1

Links

Colin Barker, Table of n, a(n) for n = 0..499

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

Formula

a(n) = 111*a(n-1)-1110*a(n-2)+1000*a(n-3). - Colin Barker, May 31 2015

G.f.: -(3230*x^2-565*x+8) / ((x-1)*(10*x-1)*(100*x-1)). - Colin Barker, May 31 2015

Mathematica

CoefficientList[Series[(3230*x^2 - 565*x + 8)/((1 - x)*(10*x - 1)*(100*x - 1)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Sep 07 2022 *)

Prog

(PARI) Vec(-(3230*x^2-565*x+8) / ((x-1)*(10*x-1)*(100*x-1)) + O(x^20)) \\ Colin Barker, May 31 2015

Crossrefs

Sequence in context: A041769 A209277 A182275 * A344094 A264053 A300613

Adjacent sequences: A171245 A171246 A171247 * A171249 A171250 A171251

Keyword

easy,nonn

Author

Jason Earls, Dec 06 2009

Status

approved