OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..990
Index entries for linear recurrences with constant coefficients, signature (20,-100).
FORMULA
G.f.: -5*(9*x-2)*x/(10*x-1)^2.
a(n) = 10^(n-1)*(11*n+9)/2 for n>0, a(0) = 0.
From Elmo R. Oliveira, Nov 20 2025: (Start)
E.g.f.: (exp(10*x)*(110*x + 9) - 9)/20.
a(n) = 20*a(n-1) - 100*a(n-2) for n > 2. (End)
MAPLE
a:= n-> `if`(n=0, 0, 10^(n-1)*(11*n+9)/2):
seq(a(n), n=0..30);
MATHEMATICA
LinearRecurrence[{20, -100}, {0, 10, 155}, 20] (* Harvey P. Dale, Dec 18 2025 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Sep 18 2013
STATUS
approved