A195875 Positive integers a for which there is a primitive (-1/2)-Pythagorean triple (a,b,c) satisfying a<=b.

1, 5, 6, 6, 7, 9, 9, 10, 11, 11, 13, 13, 14, 14, 15, 16, 16, 17, 17, 19, 19, 21, 22, 22, 23, 23, 26, 26, 29, 31, 31, 32, 32, 32, 33, 34, 34, 35, 37, 38, 39, 41, 42, 43, 46, 47, 48, 48, 48, 50, 51, 54, 58, 59, 62, 64, 64, 64, 66, 67, 70, 71, 74, 75, 77, 77, 79, 80, 80

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 (-1/2)-Pythagorean triples (a,b,c)
(c^2=a^2+b^2+k*a*b, where k=-1/2):
1,2,2
5,48,47
6,7,8
6,35,34
7,32,31
9,32,31
9,154,152
10,33,32
11,16,17

Mathematica

(See A195872.)

Crossrefs

Cf. A195770, A195872, A195876, A195877.

Sequence in context: A120198 A157729 A335015 * A205852 A028314 A201326

Adjacent sequences: A195872 A195873 A195874 * A195876 A195877 A195878

Keyword

nonn

Author

Clark Kimberling, Sep 25 2011

Status

approved