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.

A046083 The smallest member 'a' of the Pythagorean triples (a,b,c) ordered by increasing c.

This page as a plain text file.
%I A046083 #16 Feb 16 2025 08:32:38
%S A046083 3,6,5,9,8,12,15,7,10,20,18,16,21,12,15,24,9,27,30,14,24,20,28,33,40,
%T A046083 36,11,39,33,25,16,32,42,48,24,45,21,30,48,18,51,40,36,13,60,39,54,35,
%U A046083 57,65,60,28,20,48,40,63,56,60,66,36,15,69,80,45,56,72,22,27,75,44,35
%N A046083 The smallest member 'a' of the Pythagorean triples (a,b,c) ordered by increasing c.
%H A046083 Jean-François Alcover, <a href="/A046083/b046083.txt">Table of n, a(n) for n = 1..10000</a>
%H A046083 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple.</a>
%t A046083 maxHypo = 125; hypotenuseQ[n_] := For[k = 1, True, k++, p = Prime[k]; Which[Mod[p, 4] == 1 && Divisible[n, p], Return[True], p > n, Return[False]]]; hypotenuses = Select[Range[maxHypo], hypotenuseQ]; red[c_] := {a, b, c} /. {ToRules[ Reduce[0 < a <= b && a^2 + b^2 == c^2, {a, b}, Integers]]}; Sort[Flatten[red /@ hypotenuses , 1], Last[#1] < Last[#2] &][[All, 1]] (* _Jean-François Alcover_, Oct 23 2012 *)
%Y A046083 Cf. A046084, A009000.
%K A046083 nonn
%O A046083 1,1
%A A046083 _Eric W. Weisstein_