%I #15 Sep 08 2022 08:45:07
%S 3,16,90,532,3282,20956,137370,918052,6220962,42568876,293289450,
%T 2030349172,14102205042,98176822396,684595023930,4779152829892,
%U 33389813427522,233410633309516,1632297014652810,11418243549608212
%N a(n) = 4^n + 5^n + 7^n.
%H Vincenzo Librandi, <a href="/A074562/b074562.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (16,-83,140).
%F From _Mohammad K. Azarian_, Dec 30 2008: (Start)
%F G.f.: 1/(1-4*x) + 1/(1-5*x) + 1/(1-7*x).
%F E.g.f.: exp(4*x) + exp(5*x) + exp(7*x). (End)
%t Table[4^n + 5^n + 7^n, {n, 0, 20}]
%o (Magma) [4^n + 5^n + 7^n: n in [0..20]]; // _Vincenzo Librandi_, Aug 25 2011
%Y Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
%K easy,nonn
%O 0,1
%A _Robert G. Wilson v_, Aug 23 2002