A198400 a(n) = 10^n - 10*n.

1, 0, 80, 970, 9960, 99950, 999940, 9999930, 99999920, 999999910, 9999999900, 99999999890, 999999999880, 9999999999870, 99999999999860, 999999999999850, 9999999999999840, 99999999999999830, 999999999999999820, 9999999999999999810, 99999999999999999800, 999999999999999999790

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (12,-21,10).

Formula

a(n) = 12*a(n-1) - 21*a(n-2) + 10*a(n-3) for n > 2.

G.f.: (1-12*x+101*x^2)/((1-10*x)*(1-x)^2). - Vincenzo Librandi, Jul 06 2012

E.g.f.: exp(x)*(exp(9*x) - 10*x). - Elmo R. Oliveira, Aug 29 2024

Mathematica

CoefficientList[Series[(1-12*x+101*x^2)/((1-10*x)*(1-x)^2), {x, 0, 40}], x] (* Vincenzo Librandi, Jul 06 2012 *)
LinearRecurrence[{12, -21, 10}, {1, 0, 80}, 30] (* Harvey P. Dale, May 31 2026 *)

Prog

(Magma) [10^n-10*n: n in [0..25]];
(PARI) a(n)=10^n-10*n \\ Charles R Greathouse IV, Jul 06 2017

Crossrefs

Cf. A005803, A107583, A107584, A107585.

Sequence in context: A200550 A052519 A246545 * A182680 A203347 A201193

Adjacent sequences: A198397 A198398 A198399 * A198401 A198402 A198403

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 26 2011

Status

approved