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A196115
Positive integers a for which there is a primitive 3-Pythagorean triple (a,b,c) satisfying a<=b.
4
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.
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 28 2011
STATUS
approved