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A074544 a(n) = 2^n + 7^n + 8^n. 1

%I

%S 3,17,117,863,6513,49607,379857,2920823,22542273,174571847,1356218097,

%T 10567263383,82560768033,646644832487,5076269600337,39931933631543,

%U 314707907345793,2484430327803527,19642812107654577,155514083261753303

%N a(n) = 2^n + 7^n + 8^n.

%H Vincenzo Librandi, <a href="/A074544/b074544.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 (17,-86,112).

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

%F G.f.: 1/(1-2*x) + 1/(1-7*x) + 1/(1-8*x).

%F E.g.f.: exp(2*x) + exp(7*x) + exp(8*x). (End)

%F a(n) = 17*a(n-1) - 86*a(n-2) + 112*a(n-3).

%t Table[2^n + 7^n + 8^n, {n, 0, 20}]

%o (MAGMA) [ 2^n + 7^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 May 17 18:55 EDT 2021. Contains 343987 sequences. (Running on oeis4.)