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%I #17 May 21 2019 14:33:42
%S 3,10,54,352,2418,16840,117714,823672,5765058,40354120,282476274,
%T 1977328792,13841291298,96889018600,678223089234,4747561542712,
%U 33232930635138,232630514118280,1628413598172594,11398895185897432
%N a(n) = 1^n + 2^n + 7^n.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-23,14).
%F From _Mohammad K. Azarian_, Dec 26 2008: (Start)
%F G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-7*x).
%F E.g.f.: e^x + e^(2*x) + e^(7*x). (End)
%F a(n) = 9*a(n-1) - 14*a(n-2) + 6 with a(0)=3, a(1)=10. - _Vincenzo Librandi_, Jul 21 2010
%t Table[1^n + 2^n + 7^n, {n, 0, 20}]
%t LinearRecurrence[{10,-23,14},{3,10,54},20] (* _Harvey P. Dale_, May 21 2019 *)
%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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