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A196269
Positive integers a for which there is a primitive (-1/4)-Pythagorean triple (a,b,c) satisfying a<=b.
6
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.
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 30 2011
STATUS
approved