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A174763 x-values in the solution to x^2-62*y^2=1. 2

%I #11 Sep 08 2022 08:45:51

%S 1,63,7937,999999,125991937,15873984063,1999996000001,251983622016063,

%T 31747936378023937,3999988000008999999,503966740064755975937,

%U 63495809260159243968063,7999968000039999984000001

%N x-values in the solution to x^2-62*y^2=1.

%C The corresponding values of y of this Pell equation are in A176367.

%H Vincenzo Librandi, <a href="/A174763/b174763.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (126,-1).

%F a(n) = 126*a(n-1)-a(n-2) with a(1)=1, a(2)=63.

%F G.f.: x*(1-63*x)/(1-126*x+x^2).

%t LinearRecurrence[{126,-1},{1,63},30]

%o (Magma) I:=[1, 63]; [n le 2 select I[n] else 126*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A176367.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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Last modified April 18 15:48 EDT 2024. Contains 371780 sequences. (Running on oeis4.)