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A177761
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Values s on hyperelliptic curves s^2=m^5+z sorted along increasing z.
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10
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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
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1,1
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LINKS
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Table of n, a(n) for n=1..69.
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FORMULA
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a(n)^2 = A177760(n)^5 + A152412(k) for some k.
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MATHEMATICA
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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*)
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CROSSREFS
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Cf. A177760, A152412
Sequence in context: A111678 A206429 A101819 * A128192 A077750 A076393
Adjacent sequences: A177758 A177759 A177760 * A177762 A177763 A177764
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski, May 13 2010
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STATUS
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approved
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