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) + 17 with n > 0, a(0)=-1.
From Vincenzo Librandi, Jul 05 2012: (Start)
a(n) = 11*a(n-1) - 10*a(n-2) for n > 2.
G.f.: x*(7+10*x)/((1-x)*(1-10*x)). (End)
E.g.f.: 1 + exp(x)*(8*exp(9*x) - 17)/9. - Elmo R. Oliveira, Sep 09 2024
MATHEMATICA
CoefficientList[Series[(7+10*x)/((1-x)*(1-10*x)), {x, 0, 30}], x] (* Vincenzo Librandi, Jul 05 2012 *)
Table[FromDigits[PadLeft[{7}, n, 8]], {n, 20}] (* Harvey P. Dale, Jun 22 2013 *)
PROG
(Magma) [(8*10^n-17)/9: n in [1..20]]; // Vincenzo Librandi, Jul 05 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 25 2010
STATUS
approved