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A176364 y-values in the solution to x^2-61*y^2=1. 2

%I #15 Sep 08 2022 08:45:52

%S 0,226153980,798920165762330040,2822295814832482312327709940,

%T 9970149719303180503641083029374964080,

%U 35220930741174421456911021812718768924061809900

%N y-values in the solution to x^2-61*y^2=1.

%C The corresponding values of x of this Pell equation are in A174762.

%H Vincenzo Librandi, <a href="/A176364/b176364.txt">Table of n, a(n) for n = 1..100</a>

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (3532638098,-1).

%F a(n) = 3532638098*a(n-1)-a(n-2) with a(1)=0, a(2)=226153980.

%F G.f.: 226153980*x^2/(1-3532638098*x+x^2).

%t LinearRecurrence[{3532638098,-1},{0,226153980},20]

%o (Magma) I:=[0,226153980]; [n le 2 select I[n] else 3532638098*Self(n-1)-Self(n-2): n in [1..10]];

%Y Cf. A174762.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 16 2010

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)