A195990 Positive integers a for which there is a primitive (1/3)-Pythagorean triple (a,b,c) satisfying a<=b.

3, 5, 5, 7, 8, 8, 9, 9, 11, 11, 13, 16, 17, 19, 19, 21, 23, 27, 27, 27, 29, 31, 31, 32, 32, 33, 37, 37, 39, 41, 43, 45, 45, 48, 48, 51, 51, 56, 57, 61, 63, 63, 63, 64, 67, 69, 72, 72, 72, 72, 73, 75, 77, 79, 80, 80, 81, 85, 87, 88, 88, 96, 97, 99, 99, 99, 104, 115

Offset: 1

Author

Clark Kimberling, Sep 26 2011

Keywords

• nonn

Comments

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

Examples

			Primitive (1/3)-Pythagorean triples
(c^2=a^2+b^2+k*a*b, where k=1/3):
3,8,9
5,9,11
5,72,73
7,27,29
8,9,13
8,45,47
9,13,17
9,77,79
11,48,51
11,351,353
		

Crossrefs

Cf. A195770, A195939, A195991, A195992.

Programs

Mathematica

(See A195939.)