OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (13,-32,20).
FORMULA
G.f.: 1/(1-10*x)-1/(1-2*x)+1/(1-x).
E.g.f.: e^(10*x)-e^(2*x)+e^x.
a(n) = 12*a(n-1)-20*a(n-2)+9 with a(0)=1, a(1)=9. - Vincenzo Librandi, Jul 21 2010
a(n) = A060458(n)+1. - R. J. Mathar, Mar 10 2022
MATHEMATICA
Table[10^n-2^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{13, -32, 20}, {1, 9, 97}, 20] (* Harvey P. Dale, Jan 13 2022 *)
PROG
(PARI) a(n)=10^n-2^n+1 \\ Charles R Greathouse IV, Sep 24 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 25 2009
STATUS
approved