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%I #10 Sep 08 2022 08:45:51
%S 1,89,15841,2819609,501874561,89330852249,15900389825761,
%T 2830180058133209,503756149957885441,89665764512445475289,
%U 15960002327065336716001,2840790748453117489972889
%N x-values in the solution to x^2-55*y^2=1.
%C The corresponding values of y of this Pell equation are in A175014.
%H Vincenzo Librandi, <a href="/A174758/b174758.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 (178,-1).
%F a(n) = 178*a(n-1)-a(n-2) with a(1)=1, a(2)=89.
%F G.f.: x*(1-89*x)/(1-178*x+x^2).
%t LinearRecurrence[{178,-1},{1,89},30]
%o (Magma) I:=[1, 89]; [n le 2 select I[n] else 178*Self(n-1)-Self(n-2): n in [1..20]];
%Y Cf. A175014.
%K nonn,easy
%O 1,2
%A _Vincenzo Librandi_, Apr 13 2010
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