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A196084 Positive integers a for which there is a primitive (-5/3)-Pythagorean triple (a,b,c) satisfying a<=b. 4

%I

%S 3,5,7,8,8,9,11,13,15,17,19,21,23,25,27,27,29,31,32,35,35,37,39,40,43,

%T 45,45,45,45,48,49,51,56,56,61,63,63,63,64,65,67,69,72,72,72,72,73,77,

%U 79,80,80,81,85,87,91,95,96,97,99,104,105,112,115,117,117,119

%N Positive integers a for which there is a primitive (-5/3)-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 (-5/3)-Pythagorean triples a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=-5/3:

%e 3,5,3

%e 5,27,23

%e 7,9,5

%e 8,9,5

%e 8,21,15

%e 9,32,25

%e 11,120,111

%e 13,24,15

%e 15,16,9

%e 17,279,265

%t (See A196008.)

%Y Cf. A195770, A196008, A196085, A196086.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 27 2011

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Last modified February 27 18:47 EST 2020. Contains 332308 sequences. (Running on oeis4.)