A196115 Positive integers a for which there is a primitive 3-Pythagorean triple (a,b,c) satisfying a<=b.

3, 5, 7, 8, 9, 11, 11, 13, 13, 15, 16, 17, 17, 19, 19, 21, 21, 21, 23, 23, 24, 25, 27, 27, 29, 31, 32, 33, 33, 37, 39, 39, 40, 40, 41, 43, 47, 48, 48, 49, 51, 51, 53, 56, 56, 56, 57, 57, 59, 61, 63, 64, 69, 72, 72, 75, 87, 88, 88, 93, 96, 96, 104, 104, 105, 111, 112

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..67.

Example

Primitive 3-Pythagorean triples a,b,c;
c^2=a^2+b^2+k*a*b, where k=3:
3,7,11
5,24,31
7,51,61
8,9,19
9,88,101
11,15,29
11,135,151
13,24,41
13, 192,211
15,259,281

Mathematica

(See A196112.)

Crossrefs

Cf. A195770, A196112, A196116, A196117.

Sequence in context: A370600 A080262 A025050 * A336867 A025051 A020884

Adjacent sequences: A196112 A196113 A196114 * A196116 A196117 A196118

Keyword

nonn

Author

Clark Kimberling, Sep 28 2011

Status

approved