

A177761


Values s on hyperelliptic curves s^2=m^5+z sorted along increasing z.


10



2, 6, 3, 56, 16, 4, 7, 5, 2537, 8, 6, 3788, 17, 7, 9, 8, 33, 10, 9, 18, 11, 130, 10, 12, 19, 11, 57, 34, 13, 12, 89, 20, 14, 13, 499, 15, 14, 21, 35, 15, 16, 58, 22, 16, 17, 36, 23, 17, 18, 18, 90, 19, 24, 2021, 37, 131, 59, 182, 19, 20, 45531, 25, 20, 21, 38, 26, 3447, 21, 22
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..69.


FORMULA

a(n)^2 = A177760(n)^5 + A152412(k) for some k.


MATHEMATICA

aa = {}; bb = {}; cc = {}; Do[Do[If[(N[Sqrt[x^5 + n], 300]  Round[Sqrt[x^5 + n]])^2 < 10^300, AppendTo[aa, n]; AppendTo[bb, x]; AppendTo[cc, Round[Sqrt[x^5 + n]]] , {x, 1, 100}], {n, 1, 100000}]; cc (*Artur Jasinski*)


CROSSREFS

Cf. A177760, A152412
Sequence in context: A111678 A206429 A101819 * A128192 A077750 A332253
Adjacent sequences: A177758 A177759 A177760 * A177762 A177763 A177764


KEYWORD

nonn


AUTHOR

Artur Jasinski, May 13 2010


STATUS

approved



