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%I #24 Sep 08 2022 08:45:13
%S 5,12,30,78,210,582,1650,4758,13890,40902,121170,360438,1075170,
%T 3213222,9615090,28796118,86290050,258673542,775627410,2326095798,
%U 6976714530,20926997862,62774702130,188311523478,564909404610,1694677882182,5083932983250,15251597623158
%N a(n) = 3*2^n + 2*3^n.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-6).
%F a(n) = A007283(n) + A008776(n).
%F From _Colin Barker_, Mar 30 2013: (Start)
%F G.f.: -(13*x - 5) / ((2*x - 1)*(3*x - 1)).
%F a(n) = 5*a(n-1) - 6*a(n-2). (End)
%p A094125:=n->3*2^n + 2*3^n; seq(A094125(n), n=0..100); # _Wesley Ivan Hurt_, Nov 16 2013
%t Table[3 2^n + 2 3^n, {n, 0, 100}] (* _Wesley Ivan Hurt_, Nov 16 2013 *)
%o (Magma) [3*2^n+2*3^n: n in [0..30]]; // _Vincenzo Librandi_, Dec 26 2010
%Y Cf. A007689, A000079, A000244.
%K nonn,easy
%O 0,1
%A _Reinhard Zumkeller_, Jun 01 2004
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