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A028937 Denominator of X-coordinate of (2n+1)*P where P is generator for rational points on curve y^2+y = x^3-x. +0
2
1, 1, 1, 25, 16, 841, 16641, 4225, 13608721, 264517696, 12925188721, 5677664356225, 49020596163841, 158432514799144041, 62586636021357187216, 1870098771536627436025, 41998153797159031581158401, 15402543997324146892198790401 (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

Sequence in context: A033345 A093539 A040602 this_sequence A104790 A038822 A157765

Adjacent sequences: A028934 A028935 A028936 this_sequence A028938 A028939 A028940

KEYWORD

nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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