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A134106 Complete list of solutions to y^2 = x^3 - 207; sequence gives y values. +0
6
3, 39, 75, 172, 5511, 6022, 223063347 (list; graph; listen)
OFFSET

1,1

COMMENT

For corresponding x values see A134107.

EXAMPLE

a(1)^2 = 3^2 = 9 = A134107(1)^3 - 207 = 216 - 207.

a(2)^2 = 39^2 = 1521 = A134107(2)^3 - 207 = 1728 - 207.

a(3)^2 = 75^2 = 5625 = A134107(3)^3 - 207 = 5832 - 207.

a(4)^2 = 172^2 = 29584 = A134107(4)^3 - 207 = 29791 - 207.

a(5)^2 = 5511^2 = 30371121 = A134107(5)^3 - 207 = 30371328 - 207.

a(6)^2 = 6022^2 = 36264484 = A134107(6)^3 - 207 = 36264691 - 207.

a(7)^2 = 223063347^2 = 49757256774842409 = A134107(7)^3 - 207 = 49757256774842616 - 207.

PROGRAM

(MAGMA) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, -207])) ]); /* adapted from A029727 */

CROSSREFS

Cf. A134107, A134102, A134104, A029727, A134043, A134073.

Sequence in context: A062155 A099022 A136638 this_sequence A082954 A050392 A014850

Adjacent sequences: A134103 A134104 A134105 this_sequence A134107 A134108 A134109

KEYWORD

nonn,fini,full

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 08 2007

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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