OFFSET
1,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..100
Index entries for linear recurrences with constant coefficients, signature (11,-10).
FORMULA
a(n) = 10*a(n-1) - 11 with n > 0, a(0)=2.
From Vincenzo Librandi, Jul 05 2012: (Start)
G.f.: x*(9-20*x)/((1-x)*(1-10*x)).
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)
E.g.f.: exp(x)*(7*exp(9*x) + 11)/9 - 2. - Elmo R. Oliveira, Sep 09 2024
MATHEMATICA
CoefficientList[Series[(9-20*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
PROG
(Magma) [(7*10^n+11)/9: n in [1..20]]; // Vincenzo Librandi Jul 05 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 25 2010
STATUS
approved