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

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

%S 7,8,9,11,13,15,17,19,20,20,23,25,27,28,29,31,32,33,36,39,41,44,44,45,

%T 47,48,51,52,53,57,59,63,63,64,68,71,72,72,76,81,84,88,92,93,96,99,99,

%U 104,108,108,111,117,117,124,129,132,133,144,144,148,152,153

%N Positive integers a for which there is a primitive (4/3)-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 (4/3)-Pythagorean triples a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=4/3:

%e 7,36,41

%e 8,21,27

%e 9,16,23

%e 11,12,21

%e 13,132,141

%e 15,52,63

%e 17,36,49

%e 19,288,301

%e 20,27,43

%e 20,153,167

%t (See A196040.)

%Y Cf. A195770, A196040, A196044, A196045.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 27 2011