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A196004 Positive integers a for which there is a primitive (2/3)-Pythagorean triple (a,b,c) satisfying a<=b. 4


%S 4,5,7,9,10,11,13,15,16,17,18,19,21,22,23,24,25,26,27,27,28,29,31,33,

%T 34,35,36,38,39,41,42,45,45,47,50,51,54,54,57,60,62,63,63,66,70,72,74,

%U 75,81,85,86,90,90,92,98,99,102,112,115,116,117,126,126,130,133

%N Positive integers a for which there is a primitive (2/3)-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 (2/3)-Pythagorean triples

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

%e 4,9,11

%e 5,6,9

%e 7,30,33

%e 9,14,19

%e 10,63,67

%e 11,36,41

%e 13,108,113

%e 15,44,51

%e 16,165,171

%e 17,90,97

%t (See A196001.)

%Y Cf. A195770, A196001, A196005, A196006.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 26 2011

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)