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A196115 Positive integers a for which there is a primitive 3-Pythagorean triple (a,b,c) satisfying a<=b. 4

%I #5 Mar 30 2012 18:57:49

%S 3,5,7,8,9,11,11,13,13,15,16,17,17,19,19,21,21,21,23,23,24,25,27,27,

%T 29,31,32,33,33,37,39,39,40,40,41,43,47,48,48,49,51,51,53,56,56,56,57,

%U 57,59,61,63,64,69,72,72,75,87,88,88,93,96,96,104,104,105,111,112

%N Positive integers a for which there is a primitive 3-Pythagorean triple (a,b,c) satisfying a<=b.

%C See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

%e Primitive 3-Pythagorean triples a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=3:

%e 3,7,11

%e 5,24,31

%e 7,51,61

%e 8,9,19

%e 9,88,101

%e 11,15,29

%e 11,135,151

%e 13,24,41

%e 13, 192,211

%e 15,259,281

%t (See A196112.)

%Y Cf. A195770, A196112, A196116, A196117.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 28 2011

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