A134104 - OEIS

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A134104

Complete list of solutions to y^2 = x^3 + 297; sequence gives y values.

9, 17, 18, 19, 45, 199, 333, 50265, 28748141 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`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.`
	PROG	`(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: A184938 A103707 A004751 * A124966 A192049 A133246` `Adjacent sequences: A134101 A134102 A134103 * 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 February 17 13:05 EST 2012. Contains 206024 sequences.