A196269 Positive integers a for which there is a primitive (-1/4)-Pythagorean triple (a,b,c) satisfying a<=b.

1, 4, 6, 9, 10, 10, 11, 12, 13, 14, 15, 17, 19, 20, 20, 22, 23, 23, 25, 26, 28, 28, 29, 31, 31, 32, 32, 32, 32, 33, 34, 35, 36, 37, 38, 38, 39, 41, 44, 44, 47, 50, 52, 52, 53, 54, 55, 55, 57, 58, 60, 61, 64, 64, 64, 65, 65, 65, 68, 71, 76, 76, 79, 82

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..64.

Example

Primitive (-1/4)-Pythagorean tripleas a,b,c;
c^2=a^2+b^2+k*a*b, where k=-1/4:
1,4,4
4,5,6
6,10,11
9,320,319
10,22,23
10,198,197
11,160,159
12,132,142
13,32,33
14,130,129

Mathematica

(See A196266.)

Crossrefs

Cf. A195770, A196270, A196271, A196268.

Sequence in context: A051679 A010378 A166593 * A124785 A010404 A010447

Adjacent sequences: A196266 A196267 A196268 * A196270 A196271 A196272

Keyword

nonn

Author

Clark Kimberling, Sep 30 2011

Status

approved