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A074550 a(n) = 3^n + 4^n + 8^n. 1

%I #16 Sep 08 2022 08:45:07

%S 3,15,89,603,4433,34035,266969,2115723,16849313,134499555,1074849449,

%T 8594306043,68736785393,549824517075,4398319729529,35185460179563,

%U 281479314724673,2251817122694595,18014467616379209,144115464116024283

%N a(n) = 3^n + 4^n + 8^n.

%H Vincenzo Librandi, <a href="/A074550/b074550.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (15,-68,96).

%F From _Mohammad K. Azarian_, Dec 28 2008: (Start)

%F G.f.: 1/(1-3*x) + 1/(1-4*x) + 1/(1-8*x).

%F E.g.f.: exp(3*x) + exp(4*x) + exp(8*x). (End)

%F a(n) = 15*a(n-1) - 68*a(n-2) + 96*a(n-3).

%t Table[3^n + 4^n + 8^n, {n, 0, 20}]

%o (Magma) [3^n + 4^n + 8^n: n in [0..30]]; // _Vincenzo Librandi_, Jun 13 2011

%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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Last modified April 20 09:30 EDT 2024. Contains 371799 sequences. (Running on oeis4.)