|
Search: id:A028942
|
|
|
| A028942 |
|
Numerator of y coordinate of n*P where P is generator for rational points on curve y^2+y = x^3-x. |
|
+0 1
|
|
| 0, 0, 1, 3, 5, -14, -8, 69, 435, 2065, 3612, -28888, 43355, 2616119, 28076979, -332513754, -331948240, 8280062505, 641260644409, 18784454671297, 318128427505160, -10663732503571536, -66316334575107447, 8938035295591025771
(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: A110407 A062698 A128341 this_sequence A074378 A026645 A026667
Adjacent sequences: A028939 A028940 A028941 this_sequence A028943 A028944 A028945
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|