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%I #16 Jan 14 2018 18:28:30
%S 2,13,89,637,4721,35893,277769,2175277,17167841,136170853,1083507449,
%T 8638762717,68963617361,550976517013,4404150026729,35214889666957,
%U 281627564601281,2252562753138373,18018213206747609,144134261562183997
%N a(n) = 5^n + 8^n.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (13,-40).
%F From _Mohammad K. Azarian_, Jan 11 2009: (Start)
%F G.f.: 1/(1-5*x) + 1/(1-8*x).
%F E.g.f.: e^(5*x) + e^(8*x). (End)
%F a(n) = 13*a(n-1) - 40*a(n-2) with a(0)=2, a(1)=13. - _Vincenzo Librandi_, Jul 21 2010
%t Table[5^n + 8^n, {n, 0, 20}]
%t LinearRecurrence[{13,-40},{2,13},30] (* _Harvey P. Dale_, Oct 20 2015 *)
%Y Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600..A074624.
%K easy,nonn
%O 0,1
%A _Robert G. Wilson v_, Aug 26 2002