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A074617 a(n) = 5^n + 8^n. 2

%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

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)