A318933 For the n-th number k = A318932(n) such that the Diophantine equation y^2 - k = x^3 has a solution, a(n) gives the number of solutions.

3, 1, 1, 1, 1, 4, 5, 1, 2, 2, 1, 8, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 4, 3, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 4, 2, 1, 1, 6, 1, 1, 4, 1, 1, 4, 1, 1, 1, 1, 1, 1, 6

Offset

1,1

Comments

Hemer gives a(n) for all values of k <= 100.

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..1000

Joerg Arndt, Table of A318932(n) A318933(n), from Hemer's paper.

Ove Hemer, Notes on the diophantine equation y^2 - k = x^3, Arkiv för Matematik 3.1 (1954): 67-77.

Crossrefs

Cf. A318932.

Sequence in context: A231147 A046534 A224489 * A361239 A140334 A131324

Adjacent sequences: A318930 A318931 A318932 * A318934 A318935 A318936

Keyword

nonn

Author

N. J. A. Sloane, Sep 12 2018

Extensions

Terms up to a(59) from Hemer's paper added by Joerg Arndt, Aug 28 2021

Status

approved