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A028936 Numerator of X-coordinate of (2n+1)*P where P is generator for rational points on curve y^2+y = x^3-x. +0
1
1, 2, 6, 21, 161, 1357, 18526, 480106, 12551561, 683916417, 51678803961, 4881674119706, 997454379905326, 213822353304561757, 79799551268268089761, 53139223644814624290821, 36631192030206080565822006, 54202648602164057575419038802 (list; graph; listen)
OFFSET

0,2

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: A001349 A126060 A110306 this_sequence A066932 A084392 A156155

Adjacent sequences: A028933 A028934 A028935 this_sequence A028937 A028938 A028939

KEYWORD

nonn

AUTHOR

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

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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