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A189739 a(1)=3, a(2)=5, a(n)=3*a(n-1) + 5*a(n-2).

%I A189739 #30 Feb 18 2024 03:32:33
%S A189739 3,5,30,115,495,2060,8655,36265,152070,637535,2672955,11206540,
%T A189739 46984395,196985885,825879630,3462568315,14517103095,60864150860,
%U A189739 255177968055,1069854658465,4485453815670,18805634739335,78844173296355,330560693585740,1385902947238995
%N A189739 a(1)=3, a(2)=5, a(n)=3*a(n-1) + 5*a(n-2).
%H A189739 Vincenzo Librandi, <a href="/A189739/b189739.txt">Table of n, a(n) for n = 1..100</a>
%H A189739 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,5).
%F A189739 G.f.: x*(3-4*x)/(1-3*x-5*x^2). - _Bruno Berselli_, May 24 2011
%t A189739 LinearRecurrence[{3,5},{3,5},40]
%o A189739 (Maxima) a[1]:3$ a[2]:5$ a[n]:=3*a[n-1]+5*a[n-2]$ makelist(a[n], n, 1, 25); /* _Bruno Berselli_, May 24 2011 */
%o A189739 (PARI) Vec(x*(3-4*x)/(1-3*x-5*x^2)+O(x^99)) \\ _Charles R Greathouse IV_, Jul 15 2011
%K A189739 nonn,easy
%O A189739 1,1
%A A189739 _Harvey P. Dale_, Apr 26 2011