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Search: id:A028940
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| A028940 |
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Numerator of X-coordinate of n*P where P is generator for rational points on curve y^2+y = x^3-x. |
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+0
1
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| 0, 1, -1, 2, 1, 6, -5, 21, -20, 161, 116, 1357, -3741, 18526, 8385, 480106, -239785, 12551561, -59997896, 683916417, 1849037896, 51678803961, -270896443865, 4881674119706, -16683000076735, 997454379905326
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OFFSET
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0,4
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REFERENCES
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B. Mazur, Arithmetic on curves, Bull. Amer Math. Soc. 14 (1986), 207-259; see p 225.
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FORMULA
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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).
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CROSSREFS
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Sequence in context: A030770 A114852 A095132 this_sequence A048998 A133314 A049019
Adjacent sequences: A028937 A028938 A028939 this_sequence A028941 A028942 A028943
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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