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A196158 Positive integers a for which there is a primitive 5-Pythagorean triple (a,b,c) satisfying a<=b. 7

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

%S 1,3,5,5,5,7,7,8,8,9,9,11,11,11,13,13,13,13,15,15,16,16,17,17,17,19,

%T 19,19,21,23,23,23,24,24,24,25,25,27,29,29,31,31,32,32,33,33,35,37,39,

%U 40,40,40,40,41,43,45,47,48,48,51,53,55,55,55,56,56,57,59,61

%N Positive integers a for which there is a primitive 5-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 5-Pythagorean triples a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=5:

%e 1,3,5

%e 3,40,47

%e 5,8,17

%e 5,32,43

%e 5,119,131

%e 7,69,85

%e 7,240,257

%e 8,11,25

%e 8,65,83

%e 9,40,59

%t (See A196155.)

%Y Cf. A195770, A196155, A196158, A196159, A196160.

%K nonn

%O 1,2

%A _Clark Kimberling_, Sep 28 2011

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