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%I #10 Sep 08 2022 08:45:51
%S 1,151,45601,13771351,4158902401,1255974753751,379300216730401,
%T 114547409477827351,34592938362087129601,10446952837940835312151,
%U 3154945164119770177140001,952782992611332652660968151
%N x-values in the solution to x^2-57*y^2=1.
%C The corresponding values of y of this Pell equation are in A175015.
%H Vincenzo Librandi, <a href="/A174759/b174759.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 (302,-1).
%F a(n) = 302*a(n-1)-a(n-2) with a(1)=1 a(2)=151.
%F G.f.: x*(1-151*x)/(1-302*x+x^2).
%t LinearRecurrence[{302,-1},{1,151},30]
%o (Magma) I:=[1, 151]; [n le 2 select I[n] else 302*Self(n-1)-Self(n-2): n in [1..20]];
%Y Cf. A175015.
%K nonn,easy
%O 1,2
%A _Vincenzo Librandi_, Apr 13 2010
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