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) = a(n-1) + 10^(n-1) = 10*a(n-1) - 62 with n>0, a(0)=7.
From Vincenzo Librandi, Jul 05 2012: (Start)
G.f.: 2*x*(4-35*x)/((1-x)*(1-10*x)).
a(n) = 11*a(n-1) - 10*a(n-2). (End)
E.g.f.: -7 + exp(x)*(62 + exp(9*x))/9. - Elmo R. Oliveira, Jun 18 2025
MATHEMATICA
CoefficientList[Series[(8-70*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
PROG
(Magma) [(10^n+62)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 23 2010
STATUS
approved