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A074578 a(n) = 6^n + 7^n + 9^n. 1

%I #19 Sep 08 2022 08:45:07

%S 3,22,166,1288,10258,83632,695746,5886448,50491138,437851792,

%T 3829725826,33721183408,298447606018,2651815532752,23633379691906,

%U 211108878589168,1889074229328898,16926738873098512,151824608851577986

%N a(n) = 6^n + 7^n + 9^n.

%H Vincenzo Librandi, <a href="/A074578/b074578.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 (22,-159,378).

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

%F G.f.: 1/(1-6*x) + 1/(1-7*x) + 1/(1-9*x).

%F E.g.f.: e^(6*x) + e^(7*x) + e^(9*x). (End)

%t Table[6^n + 7^n + 9^n, {n, 0, 20}]

%t LinearRecurrence[{22,-159,378},{3,22,166},20] (* _Harvey P. Dale_, Sep 26 2016 *)

%o (Magma) [6^n + 7^n + 9^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

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)