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.

A364109 a(n) is the lesser coefficient of the pair (x, y) such that (x^2-y^2)/r, 2*x*y/r, (x^2+y^2)/r are the 2 legs and hypotenuse of the least Pythagorean triple having area A006991(n).

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%I A364109 #10 Jul 05 2023 15:03:56
%S A364109 4,1,9,36,1,1,3,49,17689,4900,2,81,8,1764,289,12,16,49,2289169,
%T A364109 1158313156,44,10227204,22801,4,169,2,121,2809,1,166952241,36,49,169,
%U A364109 75,529,76,3975302500,1,7551929273974569,1764,1,12,19298449,25,305111826865145547009,143811,14161,3136,1,1
%N A364109 a(n) is the lesser coefficient of the pair (x, y) such that (x^2-y^2)/r, 2*x*y/r, (x^2+y^2)/r are the 2 legs and hypotenuse of the least Pythagorean triple having area A006991(n).
%H A364109 Michel Marcus, <a href="/A364109/b364109.txt">Table of n, a(n) for n = 1..361</a>
%H A364109 Mauro Fiorentini, <a href="http://bitman.name/math/table/29">Numeri congruenti minori di 1000</a>. See column b.
%H A364109 David Goldberg, <a href="https://arxiv.org/abs/2106.07373">Triangle Sides for Congruent Numbers less than 10,000</a>, arXiv:2106.07373 [math.NT], 2021. See column Q, p. 7.
%H A364109 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/math10/matb2000.htm">Congruum</a>. See column n.
%Y A364109 Cf. A006991 (primitive congruent numbers), A364108 (x), A364110 (r).
%K A364109 nonn
%O A364109 1,1
%A A364109 _Michel Marcus_, Jul 05 2023