A171226 9+10^n+9*100^n.
19, 919, 90109, 9001009, 900010009, 90000100009, 9000001000009, 900000010000009, 90000000100000009, 9000000001000000009, 900000000010000000009, 90000000000100000000009, 9000000000001000000000009, 900000000000010000000000009, 90000000000000100000000000009
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (111, -1110, 1000).
Crossrefs
Cf. A083816.
Programs
-
Maple
A171226:=n->9+10^n+9*100^n; seq(A171226(n), n=0..20); # Wesley Ivan Hurt, Mar 07 2014
-
Mathematica
LinearRecurrence[{111,-1110,1000},{19,919,90109},20] (* Harvey P. Dale, Oct 24 2011 *) -
PARI
a(n) = 9+10^n+9*100^n; \\ Michel Marcus, Mar 08 2014
Formula
a(n) = 111*a(n-1) -1110*a(n-2) +1000*a(n-3).
G.f.: -(19-1190*x+9190*x^2)/((x-1) * (100*x-1) * (10*x-1)). - R. J. Mathar, Feb 14 2010