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A175672 y-values in the solution to x^2 - 28*y^2=1. 3

%I #23 Sep 08 2022 08:45:51

%S 0,24,6096,1548360,393277344,99890897016,25371894564720,

%T 6444361328541864,1636842405555068736,415751526649658917080,

%U 105599250926607809869584,26821793983831734047957256

%N y-values in the solution to x^2 - 28*y^2=1.

%C The corresponding values of x of this Pell equation are in A175633.

%H Vincenzo Librandi, <a href="/A175672/b175672.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 (254,-1).

%F a(n) = 254*a(n-1)-a(n-2) with a(1)=0, a(2)=24.

%F G.f.: 24*x^2/(1-254*x+x^2).

%t LinearRecurrence[{254,-1},{0,24},20]

%o (Magma) I:=[0,24]; [n le 2 select I[n] else 254*Self(n-1)-Self(n-2): n in [1..15]];

%Y Cf. A175633.

%K nonn,easy,less

%O 1,2

%A _Vincenzo Librandi_, Dec 04 2010

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)