OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).
FORMULA
G.f.: -(1910*x^2-1030*x+11) / ((x-1)*(10*x-1)*(100*x-1)). - Colin Barker, Jul 29 2014
From Elmo R. Oliveira, Sep 06 2024: (Start)
E.g.f.: exp(x)*(9*exp(9*x) + exp(99*x) + 1).
a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2. (End)
MATHEMATICA
Join[{11}, Table[FromDigits[Join[{1}, PadRight[{}, n, 0], {9}, PadRight[{}, n, 0], {1}]], {n, 0, 20}]] (* Harvey P. Dale, Apr 26 2013 *)
Table[100^n + 9 * 10^n + 1, {n, 0, 19}] (* Alonso del Arte, Jul 28 2014 *)
PROG
(Magma) [1+9*10^n+100^n: n in [0..15]]; // Vincenzo Librandi, Jul 29 2014
(PARI) Vec(-(1910*x^2-1030*x+11)/((x-1)*(10*x-1)*(100*x-1)) + O(x^100)) \\ Colin Barker, Jul 29 2014
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jason Earls, Dec 11 2009
EXTENSIONS
More terms from Harvey P. Dale, Apr 26 2013
STATUS
approved