This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A058939 The elliptic divisibility sequence associated to the rational point of smallest known global height for rational elliptic curves: the curve is [ 0,0,0,-412,3316 ] and the point is [ -18,70 ]. 0
 0, 1, 140, -1372000, -268912000000, 1844736320000000000, 354336952345600000000000000, -2041831254196285440000000000000000000, -366048617485621006827520000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The terms of the sequence are highly divisible by the primes 2,5 and 7. This is because it is trying to tell us the local heights at the primes where the point [ -18,70 ] has singular reduction on the elliptic curve [ 0,0,0,-412,3316 ]. The elliptic curve "280b1" is y^2 = x^3 - 412 * x + 3316. - Michael Somos, Feb 12 2012 LINKS FORMULA a(2n+1)=a(n+2)*a(n)^3-a(n-1)*a(n+1)^3, a(2*n)=a(n)*(a(n+2)*a(n-1)^2-a(n-2)*a(n+1)^2)/a(2) a(-n) = -a(n). a(n+2)*a(n-2) = 19600 * a(n+1)*a(n-1) + 1372000 * a(n)^2. a(n+3)*a(n-2) = -1372000 * a(n+2)*a(n-1) + 1920800000 * a(n+1)*a(n). - Michael Somos, Feb 12 2012 CROSSREFS Sequence in context: A211420 A185402 A216729 * A214376 A165600 A137506 Adjacent sequences:  A058936 A058937 A058938 * A058940 A058941 A058942 KEYWORD easy,sign AUTHOR Graham Everest (g.everest(AT)uea.ac.uk), Jan 12 2001 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 11 22:31 EST 2019. Contains 329046 sequences. (Running on oeis4.)