login
a(n) = 4^n + 5^n + 8^n.
1

%I #18 Sep 08 2022 08:45:07

%S 3,17,105,701,4977,36917,281865,2191661,17233377,136432997,1084556025,

%T 8642957021,68980394577,551043625877,4404418462185,35215963408781,

%U 281631859568577,2252579933007557,18018281926224345,144134536440090941

%N a(n) = 4^n + 5^n + 8^n.

%H Vincenzo Librandi, <a href="/A074563/b074563.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-92,160).

%F From _Mohammad K. Azarian_, Dec 30 2008: (Start)

%F G.f.: 1/(1-4*x) + 1/(1-5*x) + 1/(1-8*x).

%F E.g.f.: exp(4*x) + exp(5*x) + exp(8*x). (End)

%t Table[4^n + 5^n + 8^n, {n, 0, 20}]

%o (Magma) [4^n + 5^n + 8^n: n in [0..20]]; // _Vincenzo Librandi_, Aug 25 2011

%o (PARI) vector(20, n, n--; 4^n + 5^n + 8^n) \\ _G. C. Greubel_, Nov 09 2018

%Y Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 23 2002