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 A097753 #13 Feb 16 2025 08:32:54 %S A097753 1,2,5,3,10,25,4,15,50,125,6,20,75,250,65,8,30,100,375,130,3125,9,40, %T A097753 150,500,195,6250,15625,12,45,200,750,260,9375,31250,325,16,60,225, %U A097753 1000,390,12500,46875,650,390625,18,80,300,1125,520,18750,62500,975 %N A097753 Table read by antidiagonals of least integer "mod 4 prime signatures" k ordered by number of Pythagorean triples with hypotenuse = k. %C A097753 See A097751 for definition of "mod 4 prime signature". %C A097753 Row 0 of table represents "mod 4 prime signature" values k such that no PTs have hypotenuse=k. %C A097753 Row n of table, n>0, represents "mod 4 prime signature" values k such that n PTs have hypotenuse=k. %H A097753 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple.</a> %e A097753 Table begins: %e A097753 0: 1,2,3,4,6,8,9,12,16,18,21,... %e A097753 1: 5,10,15,20,30,40,45,60,80,90,105,... %e A097753 2: 25,50,75,100,150,200,225,300,400,450,525,... %e A097753 3: 125,250,375,500,750,1000,1125,1500,2000,2250,2625,... %e A097753 4: 65,130,195,260,390,520,585,625,780,1040,1170,... %e A097753 5: 3125,6250,9375,12500,18750,25000,28125,37500,... %e A097753 6: 15625,31250,46875,62500,93750,125000,140625,... %e A097753 7: 325,650,975,1300,1950,2600,2925,3900,5200,... %e A097753 8: 390625,781250,1171875,1562500,2343750,... %e A097753 9: 1953125,3906250,5859375,7812500,11718750,... %e A097753 10: 1625,3250,4875,6500,9750,13000,14625,19500,... %Y A097753 Cf. A097751, A097752, A097754, A097755, A097756. %K A097753 nonn,tabl %O A097753 1,2 %A A097753 _Ray Chandler_, Aug 26 2004 %E A097753 Correct offset. _Ray Chandler_, Jan 15 2013