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 A014498 #24 Feb 16 2025 08:32:33 %S A014498 1,2,3,3,6,5,4,10,5,12,7,15,14,6,15,20,9,21,7,18,28,11,8,21,30,35,22, %T A014498 9,36,24,35,13,42,33,45,10,26,40,44,15,39,11,30,45,55,56,30,63,52,12, %U A014498 33,66,17,63,65,72,34,13,77,60,55,70,78,19,51,14,88,39,60,77,38,91,68,90 %N A014498 Varying radii of inscribed circles within primitive Pythagorean triples as a function of increasing values of hypotenuse. %H A014498 Ray Chandler, <a href="/A014498/b014498.txt">Table of n, a(n) for n = 1..10000</a> %H A014498 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple.</a> %H A014498 Saltire Software, <a href="http://www.saltire.com/HTML5/Basic Geometry/Pythagorean Triples.html">Pythagorean Triples</a> %F A014498 Arrange all primitive Pythagorean triples a, b, c by value of hypotenuse c, then by long leg b; for n-th value of c, sequence gives radius of largest inscribed circle, (a+b-c)/2. %F A014498 a(n) = (A046086(n) + A046087(n) - A020882(n))/2 = A087459(n)/2. %F A014498 a(n) = sqrt(A118961(n)*A118962(n)/2). - _Lekraj Beedassy_, May 07 2006 %Y A014498 For ordered values of (a+b-c)/2 see A020888. %Y A014498 Cf. A046086, A046087, A020882, A087459. %K A014498 nonn %O A014498 1,2 %A A014498 RALPH PETERSON (ralphp(AT)LIBRARY.NRL.NAVY.MIL) %E A014498 More terms from _Asher Auel_ May 05 2000 %E A014498 Extended by _Ray Chandler_, Mar 09 2004