A196165 - OEIS

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

%S 2,3,4,5,5,6,7,7,8,9,9,10,11,11,12,13,13,14,14,15,15,16,17,17,18,18,

%T 19,19,20,21,21,21,22,23,24,25,26,27,29,30,30,31,33,33,34,38,39,39,42,

%U 42,45,46,48,50,51,51,54,55,57,57,58,60,60,60,62,65,66,66,68

%N Positive integers a for which there is a primitive 6-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 6-Pythagorean triples a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=6:

%e 2,3,7

%e 3,10,17

%e 4,21,31

%e 5,12,23

%e 5,36,49

%e 6,55,71

%e 7,30,47

%e 7,78,97

%e 8,105,127

%e 9,56,79

%t (See A196162.)

%Y Cf. A195770, A196162, A196166, A196167.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 28 2011