|
%I #13 Jul 27 2019 11:20:26
%S 0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0,
%T 2,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0,0,1,1,
%U 1,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0
%N Rank of elliptic curve y^2 = x^3 + (4*n^2 + 12*n -3)*x^2 + 32*(n+3)*x.
%H Seiichi Manyama, <a href="/A309168/b309168.txt">Table of n, a(n) for n = 0..1000</a>
%H Andrew Bremner, Allan Macleod, <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_43_from29to41.pdf">An unusual cubic representation problem</a>, Annales Mathematicae et Informaticae, 43(2014), pp.29-41.
%o (PARI) {a(n) = ellanalyticrank(ellinit([0, 4*n^2+12*n-3, 0, 32*(n+3), 0]))[1]}
%Y Cf. A309170, A309177.
%K nonn
%O 0,35
%A _Seiichi Manyama_, Jul 15 2019
|
