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%I #21 Mar 02 2022 12:07:44
%S 1,14,116,944,7856,66824,578096,5062904,44726336,397498184,3547250576,
%T 31743856664,284606318816,2554926522344,22955156619056,
%U 206361317079224,1855841298759296,16694108359111304,150196195253667536
%N a(n) = 9^n+6^n-1^n.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (16,-69,54).
%F G.f.: 1/(1-9*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(9*x)+e^(6*x)-e^x.
%F a(n) = 15*a(n-1)-54*a(n-2)-40 with a(0)=1, a(1)=14. - _Vincenzo Librandi_, Jul 21 2010
%F a(0)=1, a(1)=14, a(2)=116, a(n) = 16*a(n-1)-69*a(n-2)+54*a(n-3). - _Harvey P. Dale_, Dec 04 2012
%t Table[9^n+6^n-1,{n,0,30}] (* or *) LinearRecurrence[{16,-69,54},{1,14,116},30] (* _Harvey P. Dale_, Dec 04 2012 *)
%o (PARI) a(n)=9^n+6^n-1 \\ _Charles R Greathouse IV_, Sep 24 2015
%Y Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646.
%K nonn,easy
%O 0,2
%A _Mohammad K. Azarian_, Jan 31 2009
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