A145206 Numbers x such that 201*x^2 + 67 is a square.

293, 301845963, 310958692622677, 320346535552653772667, 330017797460677431371194053, 339981034765694936488737747687403, 350245062204941248823872062858714502517

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..150

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

Formula

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

G.f.: 293*(x+1)/(x^2-1030190*x+1). [Colin Barker, Aug 24 2012]

Example

293 is a term because 201*293^2 + 67 = 4154^2.

Mathematica

LinearRecurrence[{1030190, -1}, {293, 301845963}, 10] (* Paolo Xausa, Mar 01 2024 *)

Crossrefs

Sequence in context: A085502 A108828 A239825 * A153579 A132187 A367207

Adjacent sequences: A145203 A145204 A145205 * A145207 A145208 A145209

Keyword

easy,nonn

Author

Richard Choulet, Oct 04 2008

Status

approved