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A228546 x-values in the solution to the Pell equation x^2 - 74*y^2 = -1. 2

%I

%S 43,318157,2353725443,17412860509157,128820339693018043,

%T 953012855636086972957,7050388977175431732917843,

%U 52158776700130988324039229557,385870622977180074445810487344843,2854670816626401490619117661337918957

%N x-values in the solution to the Pell equation x^2 - 74*y^2 = -1.

%C All terms are multiples of 43.

%H Colin Barker, <a href="/A228546/b228546.txt">Table of n, a(n) for n = 1..250</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7398,-1).

%F a(n) = 7398*a(n-1)-a(n-2).

%F G.f.: 43*x*(x+1) / (x^2-7398*x+1).

%t LinearRecurrence[{7398,-1},{43,318157},10] (* _Harvey P. Dale_, Oct 13 2017 *)

%o (PARI) Vec(43*x*(x+1)/(x^2-7398*x+1) + O(x^30))

%Y Cf. A228547 gives the corresponding y-values.

%K nonn,easy

%O 1,1

%A _Colin Barker_, Aug 25 2013

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Last modified June 17 22:14 EDT 2021. Contains 345086 sequences. (Running on oeis4.)