%I A099830
%S A099830 12,60,120,240,420,720,1320,840,2640,1680,3360,2520,4620,7920,7560,5040,
%T A099830 10080,17160,10920,9240,40320,25200,28560,21840,18480,60480,41580,46200,
%U A099830 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 (blekraj(AT)yahoo.com), Jun 07 2006
%H A099830 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Pythag/
               pythag.html">Pythagorean Triples and Online Calculators</a>
%H A099830 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PythagoreanTriple.html">Pythagorean Triple.</a>
%H A099830 <a href="Sindx_Ps.html#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.
%Y A099830 Sequence in context: A094807 A120644 A099829 this_sequence A158443 A153792 
               A000141
%Y A099830 Adjacent sequences: A099827 A099828 A099829 this_sequence A099831 A099832 
               A099833
%K A099830 nonn
%O A099830 1,1
%A A099830 Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 27 2004
%E A099830 More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 29 
               2004