A196004 Positive integers a for which there is a primitive (2/3)-Pythagorean triple (a,b,c) satisfying a<=b.

4, 5, 7, 9, 10, 11, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 27, 28, 29, 31, 33, 34, 35, 36, 38, 39, 41, 42, 45, 45, 47, 50, 51, 54, 54, 57, 60, 62, 63, 63, 66, 70, 72, 74, 75, 81, 85, 86, 90, 90, 92, 98, 99, 102, 112, 115, 116, 117, 126, 126, 130, 133

Offset

1,1

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..65.

Example

Primitive (2/3)-Pythagorean triples
(c^2=a^2+b^2+k*a*b, where k=2/3):
4,9,11
5,6,9
7,30,33
9,14,19
10,63,67
11,36,41
13,108,113
15,44,51
16,165,171
17,90,97

Mathematica

(See A196001.)

Crossrefs

Cf. A195770, A196001, A196005, A196006.

Sequence in context: A080596 A376598 A183866 * A185600 A191771 A267027

Adjacent sequences: A196001 A196002 A196003 * A196005 A196006 A196007

Keyword

nonn

Author

Clark Kimberling, Sep 26 2011

Status

approved