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A028934 Negative of numerator of y-coordinate of (2n+1)*P where P is the generator for rational points on the curve y^2 + y = x^3 - x. 2
0, 1, 5, -8, 435, 3612, 43355, 28076979, -331948240, 641260644409, 318128427505160, -66316334575107447, 588310630753491921045, 435912379274109872312968, 2181616293371330311419201915 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..86

B. Mazur, Arithmetic on curves, Bull. Amer. Math. Soc. 14 (1986), 207-259; see p. 225.

FORMULA

P = (0, 0), 2P = (1, 0); if kP = (a, b) then (k+1)P = (a' = (b^2 - a^3)/a^2, b' = -1 - b*a'/a).

a(n) = A028942(2n+1). - Seiichi Manyama, Nov 20 2016

EXAMPLE

3P = (-1, -1).

CROSSREFS

Cf. A028935, A028942.

Sequence in context: A162571 A046490 A155214 * A297559 A195144 A175997

Adjacent sequences:  A028931 A028932 A028933 * A028935 A028936 A028937

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 20 13:33 EST 2019. Contains 320327 sequences. (Running on oeis4.)