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%I #22 Mar 10 2022 05:22:33
%S 1,8,78,722,6546,59018,531378,4782842,43046466,387419978,3486783378,
%T 31381057562,282429532386,2541865820138,22876792438578,
%U 205891132061882,1853020188786306,16677181699535498,150094635296736978
%N a(n) = 9^n-2^n+1^n.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-29,18).
%F G.f.: 1/(1-9*x)-1/(1-2*x)+1/(1-x). E.g.f.: e^(9*x)-e^(2*x)+e^x.
%F a(n) = 11*a(n-1)-18*a(n-2)+8 with a(0)=1, a(1)=8 - _Vincenzo Librandi_, Jul 21 2010
%F a(n) = A191465(n)+1. - _R. J. Mathar_, Mar 10 2022
%o (PARI) a(n)=9^n-2^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015
%Y Cf. A074501, A020515, A155588, A155590, A155592, A155593, A155594, A155596, A155597, A155598, A155599.
%K nonn,easy
%O 0,2
%A _Mohammad K. Azarian_, Jan 25 2009
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