A145205 Numbers X such that (X^2-67)/201 is a square.

4154, 4279405106, 4408600346145986, 4541695990591853912234, 4678809792543413381498198474, 4820063060175757335495037232017826, 4965580763957784639661088992670945968466

Offset

1,1

Links

Michael De Vlieger, Table of n, a(n) for n = 1..166

Index entries for linear recurrences with constant coefficients, signature (1030190,-1).

Formula

a(n) = 1030190*a(n-1) - a(n-2).

G.f.: -4154*x*(x-1)/(x^2-1030190*x+1). - Colin Barker, Aug 24 2012

a(n) = 2*A145207(n)/67. - Hugo Pfoertner, Apr 07 2024

Example

The first relation is : 4154^2=201*293^2+67.

Mathematica

LinearRecurrence[{1030190, -1}, {4154, 4279405106}, 10] (* Paolo Xausa, Jan 17 2024 *)

Crossrefs

Cf. A145207.

Sequence in context: A072896 A052464 A161752 * A243025 A196494 A104824

Adjacent sequences: A145202 A145203 A145204 * A145206 A145207 A145208

Keyword

easy,nonn

Author

Richard Choulet, Oct 04 2008

Status

approved