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.
%I A046084 #21 Feb 16 2025 08:32:38 %S A046084 4,8,12,12,15,16,20,24,24,21,24,30,28,35,36,32,40,36,40,48,45,48,45, %T A046084 44,42,48,60,52,56,60,63,60,56,55,70,60,72,72,64,80,68,75,77,84,63,80, %U A046084 72,84,76,72,80,96,99,90,96,84,90,91,88,105,112,92,84,108,105,96,120 %N A046084 The middle member 'b' of the Pythagorean triples (a,b,c) ordered by increasing c. %H A046084 Michel Marcus, <a href="/A046084/b046084.txt">Table of n, a(n) for n = 1..10000</a> %H A046084 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple.</a> %t A046084 maxHypo = 122; 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, 2]] (* _Jean-François Alcover_, Oct 23 2012 *) %Y A046084 Cf. A009000, A046083. %K A046084 nonn,look %O A046084 1,1 %A A046084 _Eric W. Weisstein_