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A174767 y-values in the solution to x^2 - 23*y^2 = 1.

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%I A174767 #13 Sep 08 2022 08:45:51
%S A174767 0,5,240,11515,552480,26507525,1271808720,61020311035,2927703120960,
%T A174767 140468729495045,6739571312641200,323358954277282555,
%U A174767 15514490233996921440,744372172277574946565,35714349779089600513680
%N A174767 y-values in the solution to  x^2 - 23*y^2 = 1.
%C A174767 The corresponding values of x of this Pell equation are in A114051.
%H A174767 Vincenzo Librandi, <a href="/A174767/b174767.txt">Table of n, a(n) for n = 1..200</a>
%H A174767 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (48,-1).
%F A174767 a(n) = 48*a(n-1)-a(n-2) with a(1)=0, a(2)=5.
%F A174767 G.f.: 5*x^2/(1-48*x+x^2).
%t A174767 LinearRecurrence[{48,-1},{0,5},30]
%o A174767 (Magma) I:=[0, 5]; [n le 2 select I[n] else 48*Self(n-1)-Self(n-2): n in [1..20]];
%Y A174767 Cf. A114051.
%K A174767 nonn,easy
%O A174767 1,2
%A A174767 _Vincenzo Librandi_, Apr 14 2010