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A316842 Three-column table read by rows giving primitive integer sides of proper triangles (i,j,k) with i >= j >= k >= 1, j+k > i, gcd(i,j,k) = 1.

%I A316842 #27 Aug 01 2019 04:08:45
%S A316842 1,1,1,2,2,1,3,2,2,3,3,1,3,3,2,4,3,2,4,3,3,4,4,1,4,4,3,5,3,3,5,4,2,5,
%T A316842 4,3,5,4,4,5,5,1,5,5,2,5,5,3,5,5,4,6,4,3,6,5,2,6,5,3,6,5,4,6,5,5,6,6,
%U A316842 1,6,6,5,7,4,4,7,5,3,7,5,4,7,5,5,7,6,2,7,6,3,7,6,4,7,6,5,7,6,6,7,7,1,7,7,2,7,7,3,7,7,4,7,7,5,7,7,6,8,5,4
%N A316842 Three-column table read by rows giving primitive integer sides of proper triangles (i,j,k) with i >= j >= k >= 1, j+k > i, gcd(i,j,k) = 1.
%H A316842 Lars Blomberg, <a href="/A316842/b316842.txt">Table of n, a(n) for n = 1..9000</a>
%e A316842 Table begins:
%e A316842 [1,1,1],
%e A316842 [2,2,1],
%e A316842 [3,2,2],
%e A316842 [3,3,1],
%e A316842 [3,3,2],
%e A316842 [4,3,2],
%e A316842 [4,3,3],
%e A316842 [4,4,1],
%e A316842 [4,4,3],
%e A316842 [5,3,3],
%e A316842 [5,4,2],
%e A316842 ...
%Y A316842 There are A123323(k) rows that begin with k.
%Y A316842 The three columns are A316846, A316847, A316848.
%Y A316842 A316850 is a compressed version.
%Y A316842 See A316841 for all triples (including imprimitive triples).
%Y A316842 See A316852 and A317181 & A317183 for perimeter and area.
%Y A316842 Other related sequences: A051493, A070080, A070081, A070082, A070110.
%K A316842 nonn,tabf,look
%O A316842 1,4
%A A316842 _N. J. A. Sloane_, Jul 23 2018, following a suggestion from _Donald S. McDonald_