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A155667
a(n) = 10^n-8^n+1.
7
1, 3, 37, 489, 5905, 67233, 737857, 7902849, 83222785, 865782273, 8926258177, 91410065409, 931280523265, 9450244186113, 95601953488897, 964815627911169, 9718525023289345, 97748200186314753, 981985601490518017
OFFSET
0,2
FORMULA
G.f.: 1/(1-10*x)-1/(1-8*x)+1/(1-x).
E.g.f.: e^(10*x)-e^(8*x)+e^x.
a(n) = 18*a(n-1)-80*a(n-2)+63 with a(0) = 1, a(1) = 3. - Vincenzo Librandi, Jul 21 2010
a(n) = 19*a(n-1) - 98*a(n-2) + 80*a(n-3). - Wesley Ivan Hurt, Apr 18 2023
MATHEMATICA
Table[10^n - 8^n + 1, {n, 0, 25}] (* Paolo Xausa, Aug 02 2024 *)
PROG
(PARI) a(n)=10^n-8^n+1 \\ Charles R Greathouse IV, Jun 11 2015
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 31 2009
STATUS
approved