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A028942 Numerator of y coordinate of n*P where P is generator for rational points on curve y^2+y = x^3-x. 0
0, 0, 1, 3, 5, -14, -8, 69, 435, 2065, 3612, -28888, 43355, 2616119, 28076979, -332513754, -331948240, 8280062505, 641260644409, 18784454671297, 318128427505160, -10663732503571536, -66316334575107447, 8938035295591025771 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

REFERENCES

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).

CROSSREFS

Sequence in context: A200769 A128341 A177007 * A179213 A074378 A185301

Adjacent sequences:  A028939 A028940 A028941 * A028943 A028944 A028945

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 19:48 EST 2012. Contains 205955 sequences.