A233379 List of x coordinates of infinite family of points on the Mordell curve x^3-y^2=d over quadratic field Sqrt[13].

2860, 7105509268, 11974446516944860, 20174575425969672027268, 33990165031985542839913742860, 57266698026205846472927526499559668, 96483047367913681099665838319655915836860, 162554831171498439057365601894265975887204106468, 273872704667306430073374450872850543845308421200346860

Offset

1,1

Comments

a(1)=A202054(5).

For y values see A233392

For d values see A233391

Links

Table of n, a(n) for n=1..9.

Formula

a(n)=(13 (-1 + 4 t[n] + t[n]^2)) where t[n] satisfies the linear recurrence t[n]=1299 t[n-1]-1299 t[n-2] + t[n-2] with t[1]=13, t[2]=23377, t[3]=30349813.

(A233379(n))^3-(A233392(n))^2=A233391(n).

Crossrefs

Cf. A233391, A233392, A202054.

Sequence in context: A253714 A031603 A236586 * A192087 A286007 A235960

Adjacent sequences: A233376 A233377 A233378 * A233380 A233381 A233382

Keyword

nonn

Author

Artur Jasinski, Dec 08 2013

Status

approved