A195935 Positive integers a for which there is a primitive (-1/3)-Pythagorean triple (a,b,c) satisfying a<=b.

1, 7, 8, 9, 9, 9, 11, 13, 13, 15, 15, 16, 16, 17, 17, 19, 21, 23, 23, 24, 24, 25, 27, 27, 27, 29, 29, 31, 32, 33, 37, 39, 39, 40, 40, 41, 43, 45, 45, 47, 48, 51, 53, 55, 56, 56, 57, 57, 59, 63, 63, 63, 64, 65, 69, 71, 72, 72, 72, 72, 81, 83, 88, 89, 91, 93, 95, 96

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..68.

Example

Primitive (-1/3)-Pythagorean triples
(c^2=a^2+b^2+k*a*b, where k=-1/3):
1,3,3
7,144,143
8,9,11
9,11,13
9,16,17
9,80,79
11,72,71
13,72,71
13,495,493
15,32,33

Mathematica

(See A195932.)

Crossrefs

Cf. A195932.

Sequence in context: A257394 A196278 A006969 * A363783 A168097 A020719

Adjacent sequences: A195932 A195933 A195934 * A195936 A195937 A195938

Keyword

nonn

Author

Clark Kimberling, Sep 26 2011

Status

approved