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.

A099830 Smallest perimeter S such that exactly n distinct Pythagorean triangles with this perimeter can be constructed.

This page as a plain text file.
%I A099830 #19 Feb 16 2025 08:32:55
%S A099830 12,60,120,240,420,720,1320,840,2640,1680,3360,2520,4620,7920,7560,
%T A099830 5040,10080,17160,10920,9240,40320,25200,28560,21840,18480,60480,
%U A099830 41580,46200,36960,32760,27720,78540,60060,129360,134640,115920,85680,65520,83160
%N A099830 Smallest perimeter S such that exactly n distinct Pythagorean triangles with this perimeter can be constructed.
%C A099830 Least perimeter common to exactly n distinct Pythagorean triangles. - _Lekraj Beedassy_, Jun 07 2006
%H A099830 Ray Chandler, <a href="/A099830/b099830.txt">Table of n, a(n) for n = 1..163</a>
%H A099830 Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html">Pythagorean Triples and Online Calculators</a>
%H A099830 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple.</a>
%H A099830 <a href="/index/Ps#PyTrip">Index entries related to Pythagorean Triples.</a>
%e A099830 a(7)=1320 because 1320 is the smallest possible perimeter for which exactly 7 different Pythgorean triangles exist: 1320 = 110+600+610 = 120+594+606 = 220+528+572 = 231+520+569 = 264+495+561 = 330+440+550 = 352+420+548.
%Y A099830 Cf. A099829 first perimeter producing at least n Pythagorean triangles, A009096 ordered perimeters of Pythagorean triangles, A001399, A069905 partitions into 3 parts.
%K A099830 nonn
%O A099830 1,1
%A A099830 _Hugo Pfoertner_, Oct 27 2004
%E A099830 More terms from _Ray Chandler_, Oct 29 2004