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%I #24 Sep 08 2022 08:45:13
%S 1,6,54,486,4374,39366,354294,3188646,28697814,258280326,2324522934,
%T 20920706406,188286357654,1694577218886,15251194969974,
%U 137260754729766,1235346792567894,11118121133111046,100063090197999414,900567811781994726,8105110306037952534
%N Binomial transform of a Jacobsthal trisection.
%C Binomial transform of A082311.
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (9).
%F G.f.: (1-3*x)/(1-9*x).
%F E.g.f.: 2*exp(9*x)/3 + 1/3.
%F a(n) = 2*9^n/3 + 0^n/3.
%F a(n) = A054878(2n+1) - A054878(2n-1) + 0^n/3 = A015518(2n+1) - A015518(2n-1) + 0^n/3.
%F a(n) = 2*3^(2*n-1), for n>0. - _Gionata Neri_, Jun 18 2015
%t Table[EulerPhi[9^n],{n,0,40}] (* _Vladimir Joseph Stephan Orlovsky_, Nov 10 2009 *)
%o (PARI) Vec((1-3*x)/(1-9*x) + O(x^30)) \\ _Michel Marcus_, Jun 18 2015
%o (Magma) [1] cat [2*3^(2*n-1): n in [1..20]]; // _Vincenzo Librandi_, Jun 20 2015
%Y Cf. A001045.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Mar 10 2004
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