A134073 - OEIS

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A134073

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

5

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: A049096 A272653 A030794 * A088005 A340459 A125237

Adjacent sequences: A134070 A134071 A134072 * A134074 A134075 A134076

KEYWORD

nonn,fini,full

AUTHOR

Klaus Brockhaus, Oct 07 2007

STATUS

approved