A174763 x-values in the solution to x^2-62*y^2=1.

1, 63, 7937, 999999, 125991937, 15873984063, 1999996000001, 251983622016063, 31747936378023937, 3999988000008999999, 503966740064755975937, 63495809260159243968063, 7999968000039999984000001

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A176367.

Links

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

Index entries for linear recurrences with constant coefficients, signature (126,-1).

Formula

a(n) = 126*a(n-1)-a(n-2) with a(1)=1, a(2)=63.

G.f.: x*(1-63*x)/(1-126*x+x^2).

Mathematica

LinearRecurrence[{126, -1}, {1, 63}, 30]

Prog

(Magma) I:=[1, 63]; [n le 2 select I[n] else 126*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A176367.

Sequence in context: A069433 A178634 A387755 * A160871 A183525 A279043

Adjacent sequences: A174760 A174761 A174762 * A174764 A174765 A174766

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved