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math.NT2023
Integer sequences from elliptic curves
Paul Barry
We indicate that given an integer coordinate point on an elliptic curve y^2+axy+by=x^3+cx^2+dx+e we can identify an integer sequence whose Hankel transform is a Somos-4 sequence, a…
math.NT2021
Series reversion with Jacobi and Thron continued fractions
Paul Barry
Using ordinary and exponential generating functions, we explore the reversion of power series defined by nd order recurrences. We express the reversions in terms of Jacobi and T…