A176386 x-values in the solution to x^2-74*y^2=1.

1, 3699, 27365201, 202447753299, 1497708451540801, 11080046922051092499, 81970185631625530766801, 606415422222718754561701299, 4486261211633487714621935443201

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A176387.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (7398,-1).

Formula

a(n) = 7398*a(n-1)-a(n-2) with a(1)=1, a(2)=3699.

G.f.: x*(1-3699*x)/(1-7398*x+x^2).

Mathematica

LinearRecurrence[{7398, -1}, {1, 3699}, 30]

Prog

(Magma) I:=[1, 3699]; [n le 2 select I[n] else 7398*Self(n-1)-Self(n-2): n in [1..10]];

Crossrefs

Cf. A176387.

Sequence in context: A219067 A035780 A108004 * A204525 A204522 A294088

Adjacent sequences: A176383 A176384 A176385 * A176387 A176388 A176389

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 16 2010

Status

approved