cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A350625 a(n) = denominator of the Y-coordinate of n*P where P is the generator [0,0] for rational points on the curve y^2 + y = x^3 + x^2.

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%I A350625 #14 Jul 08 2022 08:13:30
%S A350625 1,1,1,1,8,27,1,343,1331,8000,6859,658503,6967871,7645373,1054977832,
%T A350625 19270387241,549554511871,199279038321,537149706740569,
%U A350625 17795935051712000,238963978065144151,27915217583090079761,3036108535167687186689,338086202776927409397159
%N A350625 a(n) = denominator of the Y-coordinate of n*P where P is the generator [0,0] for rational points on the curve y^2 + y = x^3 + x^2.
%C A350625 We can take P = P[1] = [x_1, y_1] = [0,0]. Then P[n] = P[1]+P[n-1] = [x_n, y_n] for n >= 2. Sequence gives denominators of the y_n.
%D A350625 D. Husemoller, Elliptic Curves, Springer, 1987, p. 28.
%D A350625 A. W. Knapp, Elliptic Curves, Princeton, 1992, p. 64.
%o A350625 (PARI) See A350622.
%Y A350625 Cf. A028940-A028943, A350622-A350624.
%K A350625 nonn,frac
%O A350625 1,5
%A A350625 _N. J. A. Sloane_, Jan 27 2022