A196158 Positive integers a for which there is a primitive 5-Pythagorean triple (a,b,c) satisfying a<=b.

1, 3, 5, 5, 5, 7, 7, 8, 8, 9, 9, 11, 11, 11, 13, 13, 13, 13, 15, 15, 16, 16, 17, 17, 17, 19, 19, 19, 21, 23, 23, 23, 24, 24, 24, 25, 25, 27, 29, 29, 31, 31, 32, 32, 33, 33, 35, 37, 39, 40, 40, 40, 40, 41, 43, 45, 47, 48, 48, 51, 53, 55, 55, 55, 56, 56, 57, 59, 61

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..69.

Example

Primitive 5-Pythagorean triples a,b,c;
c^2=a^2+b^2+k*a*b, where k=5:
1,3,5
3,40,47
5,8,17
5,32,43
5,119,131
7,69,85
7,240,257
8,11,25
8,65,83
9,40,59

Mathematica

(See A196155.)

Crossrefs

Cf. A195770, A196155, A196158, A196159, A196160.

Sequence in context: A131506 A113722 A141791 * A290561 A278545 A023828

Adjacent sequences: A196155 A196156 A196157 * A196159 A196160 A196161

Keyword

nonn

Author

Clark Kimberling, Sep 28 2011

Status

approved