A233392 -id:A233392 - 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).

A233391 List of values of d in infinite family of points on Mordell curve x^3-y^2=d over quadratic field Sqrt[13].

Original entry on oeis.org

1482975, 2773341207, 3600641055375, 4673630162187207, 6066368350723590975, 7874141445609904550007, 10220629530033306227969775, 13266369255841785874845869607, 17219737073453108032244556431775, 22351205454972878384067560248226007, 2901184746081772268941166095848657697

Offset: 1

Artur Jasinski, Dec 08 2013

nonn

All numbers in this sequence are of the form 59319 multipled by an odd number.

Cf. A233379 A233392.

a(n)=59319(2t[n]-1)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).

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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