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A179447 Smallest values d such that the equation d =x^5-y^2 has exactly n distinct nonnegative integer solutions. 1
2, 1, 7, 1044976, 11331151 (list; graph; refs; listen; history; text; internal format)
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
A. Bremner, On the Equation Y^2 = X^5 + k, Experimental Mathematics 2008 Vol. 17, No. 3, pp. 371-374.
CROSSREFS
Sequence in context: A085073 A131288 A111789 * A021825 A330187 A323690
KEYWORD
hard,more,nonn
AUTHOR
Artur Jasinski, Jul 14 2010
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)