A074565 - OEIS

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

%S 3,17,101,623,3953,25607,168401,1119863,7509953,50693447,343990001,

%T 2344318103,16034846753,110016813287,756855672401,5218820236343,

%U 36058335444353,249574353301127,1730042274055601,12008529803290583

%N a(n) = 4^n + 6^n + 7^n.

%H Vincenzo Librandi, <a href="/A074565/b074565.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (17,-94,168).

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

%F G.f.: 1/(1-4*x) + 1/(1-6*x) + 1/(1-7*x).

%F E.g.f.: exp(4*x) + exp(6*x) + exp(7*x). (End)

%F a(n) = 17*a(n-1) - 94*a(n-2) + 168*a(n-3); a(0)=3, a(1)=17, a(2)=101. - _Harvey P. Dale_, Jun 22 2013

%t Table[4^n + 6^n + 7^n, {n, 0, 20}]

%t LinearRecurrence[{17,-94,168},{3,17,101},30] (* _Harvey P. Dale_, Jun 22 2013 *)

%o (Magma) [4^n + 6^n + 7^n: n in [0..20]]; // _Vincenzo Librandi_, Aug 25 2011

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

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 23 2002