A233379 -id:A233379 - cp's OEIS frontend

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

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).

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

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

Views

Author

Keywords

Comments

Crossrefs