%I #3 Sep 08 2022 08:45:32
%S 3,9,10,17,611,6717
%N Complete list of solutions to y^2 = x^3 + 73; sequence gives y values.
%C For corresponding x values see A134074.
%e a(1)^2 = 3^2 = 9 = A134074(1)^3 + 73 = -64 + 73.
%e a(2)^2 = 9^2 = 81 = A134074(2)^3 + 73 = 8 + 73.
%e a(3)^2 = 10^2 = 100 = A134074(3)^3 + 73 = 27 + 73.
%e a(4)^2 = 17^2 = 289 = A134074(4)^3 + 73 = 216+ 73.
%e a(5)^2 = 611^2 = 373321 = A134074(5)^3 + 73 = 373248+ 73.
%e a(6)^2 = 6717^2 = 45118089 = A134074(6)^3 + 73 = 45118016+ 73.
%o (Magma) Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 73])) ]); /* adapted from A029727 */
%Y Cf. A134074, A029727, A134043.
%K nonn,fini,full
%O 1,1
%A _Klaus Brockhaus_, Oct 07 2007
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