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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 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 January 31 11:20 EST 2023. Contains 359971 sequences. (Running on oeis4.)