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A028945 Denominator of x coordinate of 2n*P where P is generator for rational points on curve y^2+y = x^3-x. +0
1
1, 1, 4, 9, 49, 529, 3481, 98596, 2337841, 67387681, 6941055969, 384768368209, 61935294530404, 16063784753682169, 2846153597907293521, 2237394491744632911601, 1262082793174195430038441, 1063198259901027900600665796 (list; graph; listen)
OFFSET

0,3

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: A030088 A081069 A053967 this_sequence A082875 A086541 A053965

Adjacent sequences: A028942 A028943 A028944 this_sequence A028946 A028947 A028948

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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