A233391 -id:A233391 - cp's OEIS frontend

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

Artur Jasinski, Dec 08 2013

nonn

a(1)=A202054(5).
For y values see A233392
For d values see A233391

Cf. A233391, A233392, A202054.

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).

A233392 List of y coordinates of infinite family of points on the Mordell curve x^3-y^2=d over quadratic field Sqrt[13].

Original entry on oeis.org

152945, 598953097717325, 1310337508404654670607225, 2865540861056875339371758826727925, 6266570209938394667955255282885089143981505, 13704185035646603836490299749913940382257827996418525, 29969294398610683114309782005478125379415264317638704493811785

Offset: 1

Artur Jasinski, Dec 08 2013

nonn

Cf. A233379, A233391.

a(n)=13(-1 + t[n] + t[n]^2)Sqrt[13 (26 + 10 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.

cp's OEIS Frontend

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

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