%I #17 Jan 14 2018 23:06:29
%S 3,14,90,638,4722,35894,277770,2175278,17167842,136170854,1083507450,
%T 8638762718,68963617362,550976517014,4404150026730,35214889666958,
%U 281627564601282,2252562753138374,18018213206747610,144134261562183998
%N a(n) = 1^n + 5^n + 8^n.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (14,-53,40).
%F From _Mohammad K. Azarian_, Dec 26 2008: (Start)
%F G.f.: 1/(1-x) + 1/(1-5*x) + 1/(1-8*x).
%F E.g.f.: e^x + e^(5*x) + e^(8*x). (End)
%F a(n) = 13*a(n-1) - 40*a(n-2) + 28 with a(0)=3, a(1)=14. - _Vincenzo Librandi_, Jul 21 2010
%F a(0)=3, a(1)=14, a(2)=90, a(n) = 14*a(n-1) - 53*a(n-2) + 40*a(n-3). - _Harvey P. Dale_, Sep 24 2013
%t Table[1^n + 5^n + 8^n, {n, 0, 20}]
%t LinearRecurrence[{14,-53,40},{3,14,90},30] (* _Harvey P. Dale_, Sep 24 2013 *)
%Y Cf. A001550, A001576, A034513, A001579, A074501..A074580.
%Y Equals A074617 + 1.
%K easy,nonn
%O 0,1
%A _Robert G. Wilson v_, Aug 23 2002