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A201269 Coordinates y of points {x,y} of Mordell elliptic curves x^3-y^2 for primary extremal points with quadratic extensions over rationals. 2
85580, 154396, 240004, 476425, 767125, 2555956, 5518439, 28748141, 37172564, 40080716, 46823500, 54615700, 80311375, 96251275, 436925600, 1304261335, 1394880175, 1526959675, 1636213375, 1839881024, 2212438625, 2442495725, 2716194871, 2976815179, 3155294924 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For x coordinates see A201047.

For distances d between cubes and squares see A201268.

For successive quadratic extensions see A201278.

Theorem (*Artur Jasinski*):

Every particular coordinate y contained only one extremal point.

Proof (*Artur Jasinski*): Coordinate x is computable from the formula x(y) = round(y^(2/3)) and distance d between cube of x and square of y is computable from the formula d(y) = round(y^(2/3))^3-y^2.

LINKS

Table of n, a(n) for n=1..25.

FORMULA

a(n) = sqrt(A201047(n)^3-A201268(n)).

CROSSREFS

Cf. A200217, A201047, A201268.

Sequence in context: A235968 A195468 A200657 * A184212 A253531 A179575

Adjacent sequences:  A201266 A201267 A201268 * A201270 A201271 A201272

KEYWORD

nonn

AUTHOR

Artur Jasinski, Nov 29 2011

STATUS

approved

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Last modified May 26 02:56 EDT 2020. Contains 334613 sequences. (Running on oeis4.)