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

Author

Artur Jasinski, Dec 08 2013

Keywords

• nonn

Comments

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

Crossrefs

Cf. A233379 A233392.

Formula

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).