A016195 a(n) = 11^n - 10^n.

0, 1, 21, 331, 4641, 61051, 771561, 9487171, 114358881, 1357947691, 15937424601, 185311670611, 2138428376721, 24522712143931, 279749833583241, 3177248169415651, 35949729863572161, 405447028499293771

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (21, -110).

Programs

Mathematica

f[n_]:=11^n-10^n;f[Range[0,40]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011 *)

Formula

G.f.: x/((1-10x)(1-11x)).

E.g.f.: e^(11*x) - e^(10*x). - Mohammad K. Azarian, Jan 14 2009

a(n) = 11*a(n-1) + 10^(n-1), a(0)=0. - Vincenzo Librandi, Feb 09 2011

a(n) = 21*a(n-1) - 110*a(n-2), a(0)=0, a(1)=1. - Vincenzo Librandi, Feb 09 2011