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Numbers x such that 201*x^2 + 67 is a square.
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%I #19 Mar 01 2024 07:15:48

%S 293,301845963,310958692622677,320346535552653772667,

%T 330017797460677431371194053,339981034765694936488737747687403,

%U 350245062204941248823872062858714502517

%N Numbers x such that 201*x^2 + 67 is a square.

%H Paolo Xausa, <a href="/A145206/b145206.txt">Table of n, a(n) for n = 1..150</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1030190,-1).

%F a(n+2)=1030190*a(n+1)-a(n).

%F G.f.: 293*(x+1)/(x^2-1030190*x+1). [_Colin Barker_, Aug 24 2012]

%e 293 is a term because 201*293^2 + 67 = 4154^2.

%t LinearRecurrence[{1030190, -1}, {293, 301845963}, 10] (* _Paolo Xausa_, Mar 01 2024 *)

%K easy,nonn

%O 1,1

%A _Richard Choulet_, Oct 04 2008