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A028944 Numerator of X-coordinate of 2n*P where P is generator for rational points on curve y^2+y = x^3-x. +0
1
0, -1, 1, -5, -20, 116, -3741, 8385, -239785, -59997896, 1849037896, -270896443865, -16683000076735, 2786836257692691, -3148929681285740316, 342115756927607927420, -280251129922563291422645, -804287518035141565236193151 (list; graph; listen)
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

Adjacent sequences: A028941 A028942 A028943 this_sequence A028945 A028946 A028947

Sequence in context: A137961 A020039 A117736 this_sequence A054720 A110373 A081067

KEYWORD

sign

AUTHOR

njas

page 1

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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