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

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

Offset

1,1

Links

Table of n, a(n) for n=1..7.

Formula

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.

Crossrefs

Cf. A233379, A233391.

Sequence in context: A244598 A112625 A118498 * A233947 A172732 A172789

Adjacent sequences: A233389 A233390 A233391 * A233393 A233394 A233395

Keyword

nonn

Author

Artur Jasinski, Dec 08 2013

Status

approved