A134073 - OEIS

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A134073

Complete list of solutions to y^2 = x^3 + 73; sequence gives y values.

3, 9, 10, 17, 611, 6717 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`For corresponding x values see A134074.`
	LINKS	`Table of n, a(n) for n=1..6.`
	EXAMPLE	`a(1)^2 = 3^2 = 9 = A134074(1)^3 + 73 = -64 + 73.` `a(2)^2 = 9^2 = 81 = A134074(2)^3 + 73 = 8 + 73.` `a(3)^2 = 10^2 = 100 = A134074(3)^3 + 73 = 27 + 73.` `a(4)^2 = 17^2 = 289 = A134074(4)^3 + 73 = 216+ 73.` `a(5)^2 = 611^2 = 373321 = A134074(5)^3 + 73 = 373248+ 73.` `a(6)^2 = 6717^2 = 45118089 = A134074(6)^3 + 73 = 45118016+ 73.`
	PROG	`(MAGMA) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 73])) ]); /* adapted from A029727 */`
	CROSSREFS	`Cf. A134074, A029727, A134043.` `Sequence in context: A138923 A049096 A030794 * A088005 A125237 A085459` `Adjacent sequences: A134070 A134071 A134072 * A134074 A134075 A134076`
	KEYWORD	`nonn,fini,full`
	AUTHOR	`Klaus Brockhaus, Oct 07 2007`
	STATUS	`approved`

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Last modified May 22 20:46 EDT 2013. Contains 225583 sequences.