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A trisection of A024495.
8

%I #27 Feb 27 2024 03:00:42

%S 0,3,21,171,1365,10923,87381,699051,5592405,44739243,357913941,

%T 2863311531,22906492245,183251937963,1466015503701,11728124029611,

%U 93824992236885,750599937895083,6004799503160661,48038396025285291,384307168202282325,3074457345618258603

%N A trisection of A024495.

%H Vincenzo Librandi, <a href="/A132805/b132805.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 (7,8).

%F From _Philippe Deléham_, Nov 19 2007: (Start)

%F a(n) = A132804(n)/2.

%F G.f.: 3x/(1 - 7*x - 8*x^2).

%F a(n+1) = 7*a(n) + 8*a(n-1) for n >= 1, a(0)=0, a(1)=3. (End)

%F a(n) = 3*A015565(n). - _R. J. Mathar_, Aug 07 2017

%t LinearRecurrence[{7,8},{0,3},40] (* _Harvey P. Dale_, Feb 08 2015 *)

%o (Magma) [-(1/3)*(-1)^n+(1/3)*8^n: n in [0..25]]; // _Vincenzo Librandi_, Aug 10 2011

%Y Cf. A029898.

%K nonn,easy

%O 0,2

%A _Paul Curtz_, Nov 18 2007