A196101 Positive integers a for which there is a primitive (5/4)-Pythagorean triple (a,b,c) satisfying a<=b.

3, 4, 10, 11, 14, 15, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 33, 35, 35, 36, 37, 38, 42, 44, 47, 53, 54, 55, 57, 61, 63, 64, 64, 65, 68, 70, 71, 77, 82, 84, 85, 86, 91, 96, 98, 99, 100, 101, 109, 110, 116, 124, 125, 126, 128, 132, 138, 140, 145, 146, 156

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..62.

Example

Primitive ((5/4)-Pythagorean triples;
c^2=a^2+b^2+k*a*b, where k=5/4:
3,20,22
4,7,10
10,34,41
11,288,295
14,230,239
15,32,43
17,224,235
19,868,880
20,231,244
22,30,47

Mathematica

(See A196098.)

Crossrefs

Cf. A195770, A196098, A196102, A196103.

Sequence in context: A224853 A225571 A191134 * A200816 A327300 A047341

Adjacent sequences: A196098 A196099 A196100 * A196102 A196103 A196104

Keyword

nonn

Author

Clark Kimberling, Sep 28 2011

Status

approved