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A196165 Positive integers a for which there is a primitive 6-Pythagorean triple (a,b,c) satisfying a<=b.

%I A196165 #5 Mar 30 2012 18:57:49
%S A196165 2,3,4,5,5,6,7,7,8,9,9,10,11,11,12,13,13,14,14,15,15,16,17,17,18,18,
%T A196165 19,19,20,21,21,21,22,23,24,25,26,27,29,30,30,31,33,33,34,38,39,39,42,
%U A196165 42,45,46,48,50,51,51,54,55,57,57,58,60,60,60,62,65,66,66,68
%N A196165 Positive integers a for which there is a primitive 6-Pythagorean triple (a,b,c) satisfying a<=b.
%C A196165 See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.
%e A196165 Primitive 6-Pythagorean triples a,b,c;
%e A196165 c^2=a^2+b^2+k*a*b, where k=6:
%e A196165 2,3,7
%e A196165 3,10,17
%e A196165 4,21,31
%e A196165 5,12,23
%e A196165 5,36,49
%e A196165 6,55,71
%e A196165 7,30,47
%e A196165 7,78,97
%e A196165 8,105,127
%e A196165 9,56,79
%t A196165 (See A196162.)
%Y A196165 Cf. A195770, A196162, A196166, A196167.
%K A196165 nonn
%O A196165 1,1
%A A196165 _Clark Kimberling_, Sep 28 2011