login
A196255
Positive integers a for which there is a primitive (3/4)-Pythagorean triple (a,b,c) satisfying a<=b.
6
2, 5, 7, 9, 12, 12, 13, 15, 17, 18, 20, 21, 23, 26, 27, 28, 28, 31, 32, 32, 33, 33, 36, 38, 39, 42, 42, 43, 44, 45, 47, 51, 52, 54, 57, 59, 60, 62, 64, 64, 65, 66, 67, 68, 70, 77, 78, 83, 84, 87, 91, 94, 96, 96, 96, 96, 100, 102, 105, 107, 111, 116, 117, 117, 123
OFFSET
1,1
COMMENTS
See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.
EXAMPLE
Primitive (3/4)-Pythagorean triples a,b,c;
c^2=a^2+b^2+k*a*b, where k=3/4:
2,6,7
5,84,86
7,12,16
9,59,56
12,19,26
12,119,124
13,576,581
15,64,71
17,192,199
18,550,557
MATHEMATICA
(See A196252.)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 30 2011
STATUS
approved