A195882 Positive integers a for which there is a primitive (1/2)-Pythagorean triple (a,b,c) satisfying a<=b.

2, 3, 5, 7, 7, 10, 11, 11, 13, 13, 14, 15, 16, 17, 17, 18, 18, 19, 19, 21, 22, 23, 25, 26, 26, 27, 29, 29, 31, 32, 32, 32, 33, 34, 37, 38, 38, 39, 41, 42, 43, 46, 46, 48, 48, 48, 49, 53, 57, 58, 61, 62, 63, 64, 64, 66, 69, 73, 77, 78, 80, 80, 80, 86, 91, 93, 94, 95

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..68.

Example

Primitive (1/2)-Pythagorean triples
(c^2=a^2+b^2+k*a*b, where k=1/2):
2,3,4
3,16,17
5,14,16
7,16,19
7,90,92
10,91,94
11,42,46
11,224,227
13,16,23

Mathematica

(See A195879.)

Crossrefs

Cf. A195770, A195883, A195884, A195879.

Sequence in context: A366856 A137750 A196365 * A332333 A156900 A039734

Adjacent sequences: A195879 A195880 A195881 * A195883 A195884 A195885

Keyword

nonn

Author

Clark Kimberling, Sep 25 2011

Status

approved