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A155672
11^n-9^n+1^n
2
1, 3, 41, 603, 8081, 102003, 1240121, 14704203, 171312161, 1970527203, 22450640201, 253930611003, 2855998840241, 31980846315603, 356873041128281, 3971357037321003, 44096709674720321, 488769846799627203
OFFSET
0,2
FORMULA
G.f.: 1/(1-11*x)-1/(1-9*x)+1/(1-x). E.g.f.: e^(11*x)-e^(9*x)+e^x.
a(n)=20*a(n-1)-99*a(n-2)+80 with a(0)=1, a(1)=3 [From Vincenzo Librandi, Jul 21 2010]
MATHEMATICA
Table[11^n-9^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{21, -119, 99}, {1, 3, 41}, 30] (* Harvey P. Dale, May 07 2019 *)
KEYWORD
nonn
AUTHOR
Mohammad K. Azarian, Feb 01 2009
STATUS
approved