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

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

%S 3,4,5,7,7,8,9,11,11,12,13,13,15,16,16,17,17,19,19,20,20,20,21,23,23,

%T 24,25,25,28,28,28,29,31,32,32,35,36,37,40,41,43,44,44,44,51,52,52,52,

%U 55,56,57,60,64,65,68,68,69,72,75,76,85,87,88,91,92,93,95

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

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

%e 3,8,13

%e 4,5,11

%e 5,28,37

%e 7,12,23

%e 7,60,73

%e 8,33,47

%e 9,104,121

%e 11,40,59

%e 11,160,181

%e 12,85,107

%t (See A196119.)

%Y Cf. A195770, A196119, A196123, A196124.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 28 2011