Hankel Determinant Solution for Elliptic Sequence

This work provides a mathematical solution for expressing elliptic curve point coordinates, which is incremental in the field of number theory and algebraic geometry.

The authors tackled the problem of expressing coordinates of multiples of an arbitrary point on an elliptic curve by showing that Hankel determinants of a generalized Catalan sequence satisfy elliptic sequence equations, resulting in a direct expression of these coordinates through Hankel determinants.