OFFSET
1,2
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) + 51 with n > 0, a(0)=-5.
From Vincenzo Librandi, Jul 05 2012: (Start)
G.f.: x*(1+50*x)/((1-x)*(1-10*x)).
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2. (End)
E.g.f.: 5 + exp(x)*(6*exp(9*x) - 51)/9. - Elmo R. Oliveira, Sep 09 2024
MATHEMATICA
CoefficientList[Series[(1+50*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
PROG
(Magma)[(6*10^n-51)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 25 2010
STATUS
approved