A174853 - OEIS

%I #17 Sep 08 2022 08:45:51

%S 0,7,672,64505,6191808,594349063,57051318240,5476332201977,

%T 525670840071552,50458924314667015,4843531063367961888,

%U 464928523159009674233,44628294692201560764480

%N y-values in the solution to x^2-47*y^2=1.

%C The corresponding values of x of this Pell equation are in A174755.

%H Vincenzo Librandi, <a href="/A174853/b174853.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 (96,-1).

%F a(n) = 96*a(n-1)-a(n-2) with a(1)=0, a(2)=7.

%F G.f.: 7*x^2/(1-96*x+x^2).

%t LinearRecurrence[{96,-1},{0,7},30]

%o (Magma) I:=[0, 7]; [n le 2 select I[n] else 96*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174755.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 15 2010