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A228545 y-values in the solution to the Pell equation x^2 - 61*y^2 = -1. 2

%I #14 Jun 13 2015 00:54:44

%S 3805,13441687959085,47484618985691536216525,

%T 167745974097868037701201304210365,

%U 592585818884249810512279448635131669269245,2093391240125028732597213302973032198405669402485645,7395193648885142783524984383830700400156283141778553755833965

%N y-values in the solution to the Pell equation x^2 - 61*y^2 = -1.

%C All terms are multiples of 3805.

%H Colin Barker, <a href="/A228545/b228545.txt">Table of n, a(n) for n = 1..100</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3532638098,-1).

%F a(n) = 3532638098*a(n-1)-a(n-2).

%F G.f.: -3805*x*(x-1) / (x^2-3532638098*x+1)

%o (PARI) Vec(-3805*x*(x-1)/(x^2-3532638098*x+1) + O(x^20))

%Y Cf. A228544 gives the corresponding x-values.

%K nonn,easy

%O 1,1

%A _Colin Barker_, Aug 25 2013

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)