A179447 Smallest values d such that the equation d =x^5-y^2 has exactly n distinct nonnegative integer solutions.

2, 1, 7, 1044976, 11331151

Offset

0,1

Comments

a(0)=2 because no integer solutions x^5-y^2 = 2;

a(1)=1 because 1=1^5-0^2;

a(2)=7 because 7=2^5-5^2 and 7=8^5-181^2;

a(3)=1044976 because 1044976=16^5-60^2 and 1044976=20^5-1468^2 and 1044976=41^5-10715^2;

a(4)=11331151 because 11331151=35^5-6418^2 and 11331151=40^5-9543^2 and 11331151=56^5-23225^2 and 11331151=386^5-2927305^2.

Links

Table of n, a(n) for n=0..4.

A. Bremner, On the Equation Y^2 = X^5 + k, Experimental Mathematics 2008 Vol. 17, No. 3, pp. 371-374.

Crossrefs

Cf. A179107, A179108, A179109, A179386, A179387, A179388, A179406, A179407, A179408, A179439.

Sequence in context: A085073 A131288 A111789 * A021825 A330187 A323690

Adjacent sequences: A179444 A179445 A179446 * A179448 A179449 A179450

Keyword

hard,more,nonn

Author

Artur Jasinski, Jul 14 2010

Status

approved