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%I #27 Jan 15 2024 01:45:21
%S 2,8,34,152,706,3368,16354,80312,397186,1972808,9824674,49005272,
%T 244672066,1222297448,6108298594,30531927032,152630937346,
%U 763068593288,3815084686114,19074648589592,95370918425026,476847618556328
%N a(n) = 3^n + 5^n.
%H Vincenzo Librandi, <a href="/A074606/b074606.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,-15).
%F From _Mohammad K. Azarian_, Jan 11 2009: (Start)
%F G.f.: 1/(1-3*x) + 1/(1-5*x).
%F E.g.f.: exp(3*x) + exp(5*x). (End)
%F a(n) = 8*a(n-1) - 15*a(n-2) with a(0)=2, a(1)=8. - _Vincenzo Librandi_, Jul 21 2010
%F a(n) = 2*A081186(n). - _R. J. Mathar_, Mar 10 2022
%t Table[3^n + 5^n, {n, 0, 25}]
%o (Magma) [3^n + 5^n: n in [0..35]]; // _Vincenzo Librandi_, Apr 30 2011
%o (PARI) a(n)=3^n+5^n \\ _Charles R Greathouse IV_, Sep 28 2015
%o (SageMath) [3^n+5^n for n in range(41)] # _G. C. Greubel_, Jan 14 2024
%Y Cf. A000051, A007689, A034472, A034474, A034491, A052539, A062394, A062395, A062396, A063376, A063481, A074600..A074624, A081186.
%K easy,nonn
%O 0,1
%A _Robert G. Wilson v_, Aug 25 2002
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