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A134104 Complete list of solutions to y^2 = x^3 + 297; sequence gives y values. +0
5
9, 17, 18, 19, 45, 199, 333, 50265, 28748141 (list; graph; listen)
OFFSET

1,1

COMMENT

For corresponding x values see A134105.

EXAMPLE

a(1)^2 = 9^2 = 81 = A134105(1)^3 + 297 = -216 + 297.

a(2)^2 = 17^2 = 289 = A134105(2)^3 + 297 = -8 + 297.

a(3)^2 = 18^2 = 324 = A134105(3)^3 + 297 = 27 + 297.

a(4)^2 = 19^2 = 361 = A134105(4)^3 + 297 = 64 + 297.

a(5)^2 = 45^2 = 2025 = A134105(5)^3 + 297 = 1728 + 297.

a(6)^2 = 199^2 = 39601 = A134105(6)^3 + 297 = 39304 + 297.

a(7)^2 = 333^2 = 110889 = A134105(7)^3 + 297 = 110592 + 297.

a(8)^2 = 50265^2 = 2526570225 = A134105(8)^3 + 297 = 2526569928 + 297.

a(9)^2 = 28748141^2 = 826455610955881 = A134105(9)^3 + 297 = 826455610955584 + 297.

PROGRAM

(MAGMA) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 297])) ]); /* adapted from A029727 */

CROSSREFS

Cf. A134105, A134102, A134106, A029727, A134043, A134073.

Sequence in context: A136313 A103707 A004751 this_sequence A124966 A133246 A144752

Adjacent sequences: A134101 A134102 A134103 this_sequence A134105 A134106 A134107

KEYWORD

nonn,fini,full

AUTHOR

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

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.


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