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%I #20 Sep 08 2022 08:45:07
%S 3,10,38,160,722,3400,16418,80440,397442,1973320,9825698,49007320,
%T 244676162,1222305640,6108314978,30531959800,152631002882,
%U 763068724360,3815084948258,19074649113880,95370919473602,476847620653480
%N a(n) = 2^n + 3^n + 5^n.
%H Vincenzo Librandi, <a href="/A074527/b074527.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-31,30).
%F From _Mohammad K. Azarian_, Dec 26 2008: (Start)
%F G.f.: 1/(1-2*x) + 1/(1-3*x) + 1/(1-5*x).
%F E.g.f.: exp(2*x) + exp(3*x) + exp(5*x). (End)
%t Table[2^n + 3^n + 5^n, {n, 0, 21}]
%t LinearRecurrence[{10,-31,30},{3,10,38},30] (* _Harvey P. Dale_, Feb 05 2022 *)
%o (Magma) [2^n + 3^n + 5^n: n in [0..25]]; // _Vincenzo Librandi_, Jun 11 2011
%o (PARI) a(n)=2^n+3^n+5^n \\ _Charles R Greathouse IV_, Oct 07 2015
%Y Cf. A001550, A001576, A034513, A001579, A074501-A074580.
%K easy,nonn
%O 0,1
%A _Robert G. Wilson v_, Aug 23 2002
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