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A174759 x-values in the solution to x^2-57*y^2=1. 2

%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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Last modified June 24 02:53 EDT 2024. Contains 373661 sequences. (Running on oeis4.)