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a(n) = 5^n + 7^n + 8^n.
1

%I #17 Sep 08 2022 08:45:07

%S 3,20,138,980,7122,52700,395418,2998820,22932642,176524460,1365982698,

%T 10616089460,82804904562,647865527420,5082373099578,39962451176900,

%U 314860495170882,2485193267125580,19646626804658058,155533156747557140

%N a(n) = 5^n + 7^n + 8^n.

%H Vincenzo Librandi, <a href="/A074574/b074574.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (20,-131,280).

%F 0From _Mohammad K. Azarian_, Dec 30 2008: (Start)

%F G.f.: 1/(1-5*x) + 1/(1-7*x) + 1/(1-8*x).

%F E.g.f.: e^(5*x) + e^(7*x) + e^(8*x). (End)

%t Table[5^n + 7^n + 8^n, {n, 0, 20}]

%o (Magma) [5^n + 7^n + 8^n: n in [0..20]]; // _Vincenzo Librandi_, May 20 2011

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

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 23 2002