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A103605 Pythagorean triples in increasing order of perimeter (a+b+c). If two successive perimeters are equals, then in order of decreasing areas; each triple [a(i), a(j), a(k)] (with k multiple of 3, j=k-1, i=k-2) in increasing order.

%I A103605 #28 Oct 05 2024 15:32:31
%S A103605 3,4,5,6,8,10,5,12,13,9,12,15,8,15,17,12,16,20,7,24,25,15,20,25,10,24,
%T A103605 26,20,21,29,18,24,30,16,30,34,21,28,35,12,35,37,15,36,39,9,40,41,24,
%U A103605 32,40,27,36,45,14,48,50,20,48,52,24,45,51,30,40,50,28,45,53
%N A103605 Pythagorean triples in increasing order of perimeter (a+b+c). If two successive perimeters are equals, then in order of decreasing areas; each triple [a(i), a(j), a(k)] (with k multiple of 3, j=k-1, i=k-2) in increasing order.
%C A103605 The corresponding perimeters A009096. - _Wolfdieter Lang_, Oct 06 2014
%H A103605 Andreas Boe, <a href="/A103605/b103605.txt">Table of n, a(n) for n = 1..30000</a>
%H A103605 Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html">The Pythagorean triples</a>.
%Y A103605 For primitive triples see A103606.
%Y A103605 Cf. A009096, A376608.
%K A103605 easy,nonn,tabf
%O A103605 1,1
%A A103605 _Alexandre Wajnberg_, Mar 24 2005
%E A103605 In the name second 'increasing' -> 'decreasing' (observed by A. Boe). - _Wolfdieter Lang_, Oct 06 2014