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%I #21 Sep 08 2022 08:45:07
%S 3,23,181,1457,11953,99593,840241,7160057,61503553,531715913,
%T 4620992401,40333791257,353325795553,3104682336233,27353203130161,
%U 241545689168057,2137316275469953,18945908172796553,168210593763149521
%N a(n) = 6^n + 8^n + 9^n.
%H Vincenzo Librandi, <a href="/A074579/b074579.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 (23,-174,432).
%F From _Mohammad K. Azarian_, Dec 26 2008: (Start)
%F G.f.: 1/(1-6*x) + 1/(1-8*x) + 1/(1-9*x).
%F E.g.f.: e^(6*x) + e^(8*x) + e^(9*x). (End)
%F a(n) = 23*a(n-1)-174*a(n-2)+432*a(n-3). - _Wesley Ivan Hurt_, Apr 17 2022
%t Table[6^n + 8^n + 9^n, {n, 0, 20}]
%t LinearRecurrence[{23,-174,432},{3,23,181},30] (* _Harvey P. Dale_, Sep 20 2016 *)
%o (Magma) [6^n + 8^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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