A196165 Positive integers a for which there is a primitive 6-Pythagorean triple (a,b,c) satisfying a<=b.

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, 19, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26, 27, 29, 30, 30, 31, 33, 33, 34, 38, 39, 39, 42, 42, 45, 46, 48, 50, 51, 51, 54, 55, 57, 57, 58, 60, 60, 60, 62, 65, 66, 66, 68

Offset: 1

Author

Clark Kimberling, Sep 28 2011

Keywords

• nonn

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Examples

			Primitive 6-Pythagorean triples a,b,c;
c^2=a^2+b^2+k*a*b, where k=6:
2,3,7
3,10,17
4,21,31
5,12,23
5,36,49
6,55,71
7,30,47
7,78,97
8,105,127
9,56,79
		

Crossrefs

Cf. A195770, A196162, A196166, A196167.

Programs

Mathematica

(See A196162.)