A174983 y-values in the solution to x^2-53*y^2=1.

0, 9100, 1205731800, 159757052027300, 21167489878307463600, 2804650073736225260045500, 371610525448734884627201195400, 49237651398101824669598678728063700, 6523890334574085039623750849483782927200

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174757.

Links

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

Index entries for linear recurrences with constant coefficients, signature (132498,-1).

Formula

a(n) = 132498*a(n-1)-a(n-2) with a(1)=0, a(2)=9100.

G.f.: 9100*x^2/(1-132498*x+x^2).

Mathematica

LinearRecurrence[{132498, -1}, {0, 9100}, 30]

Prog

(Magma) I:=[0, 9100]; [n le 2 select I[n] else 132498*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174757

Sequence in context: A015298 A157619 A233713 * A184381 A251376 A253031

Adjacent sequences: A174980 A174981 A174982 * A174984 A174985 A174986

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 15 2010

Status

approved