A176382 x-values in the solution to x^2-73*y^2=1.

1, 2281249, 10408194000001, 47487364308614281249, 216661004683313632776000001, 988515400545561595548925838281249, 4510099537958107027564099725673746000001

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A176384.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..150

Index entries for linear recurrences with constant coefficients, signature (4562498,-1).

Formula

a(n) = 4562498*a(n-1)-a(n-2) with a(1)=1, a(2)=2281249.

G.f.: x*(1-2281249*x)/(1-4562498*x+x^2).

Mathematica

LinearRecurrence[{4562498, -1}, {1, 2281249}, 30]

Prog

(Magma) I:=[1, 2281249]; [n le 2 select I[n] else 4562498*Self(n-1)-Self(n-2): n in [1..10]];

Crossrefs

Cf. A176384.

Sequence in context: A089445 A089446 A204603 * A347937 A339937 A092017

Adjacent sequences: A176379 A176380 A176381 * A176383 A176384 A176385

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 16 2010

Status

approved