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A134166 Complete list of solutions to y^2 = x^3 + 1025; sequence gives y values. 1
5, 30, 31, 32, 33, 45, 95, 255, 355, 513, 1930, 2139, 9419, 27905, 218796, 227805 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For corresponding x values see A134167.

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

a(1)^2 = 5^2 = 25 = A134167(1)^3 + 1025 = -1000 + 1025.

a(2)^2 = 30^2 = 900 = A134167(2)^3 + 1025 = -125 + 1025.

a(3)^2 = 31^2 = 961 = A134167(3)^3 + 1025 = -64 + 1025.

a(4)^2 = 32^2 = 1024 = A134167(4)^3 + 1025 = -1 + 1025.

a(5)^2 = 33^2 = 1089 = A134167(5)^3 + 1025 = 64 + 1025.

a(6)^2 = 45^2 = 2025 = A134167(6)^3 + 1025 = 1000 + 1025.

a(7)^2 = 95^2 = 9025 = A134167(7)^3 + 1025 = 8000 + 1025.

a(8)^2 = 255^2 = 65025 = A134167(8)^3 + 1025 = 64000 + 1025.

a(9)^2 = 355^2 = 126025 = A134167(9)^3 + 1025 = 125000 + 1025.

a(10)^2 = 513^2 = 263169 = A134167(10)^3 + 1025 = 262144 + 1025.

a(11)^2 = 1930^2 = 3724900 = A134167(11)^3 + 1025 = 3723875 + 1025.

a(12)^2 = 2139^2 = 4575321 = A134167(12)^3 + 1025 = 4574296 + 1025.

a(13)^2 = 9419^2 = 88717561 = A134167(13)^3 + 1025 = 88716536 + 1025.

a(14)^2 = 27905^2 = 778689025 = A134167(14)^3 + 1025 = 778688000 + 1025.

a(15)^2 = 218796^2 = 47871689616 = A134167(15)^3 + 1025 = 47871688591 + 1025.

a(16)^2 = 227805^2 = 51895118025 = A134167(16)^3 + 1025 = 51895117000 + 1025.

PROG

(MAGMA) { x : x in Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 1025])) ]) }; /* adapted from A029727 */

CROSSREFS

Cf. A134167, A029727, A134043, A134073, A134102, A134104, A134106.

Sequence in context: A187605 A266569 A098346 * A154522 A253805 A222463

Adjacent sequences:  A134163 A134164 A134165 * A134167 A134168 A134169

KEYWORD

nonn,fini,full

AUTHOR

Klaus Brockhaus, Oct 11 2007

STATUS

approved

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Last modified October 22 12:47 EDT 2019. Contains 328318 sequences. (Running on oeis4.)