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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 (list; graph; refs; listen; history; text; internal format)
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..65.

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

Cf. A195770, A196252, A196256, A196257.

Sequence in context: A029905 A057437 A339922 * A024666 A184397 A024671

Adjacent sequences:  A196252 A196253 A196254 * A196256 A196257 A196258

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 30 2011

STATUS

approved

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Last modified August 3 21:46 EDT 2021. Contains 346441 sequences. (Running on oeis4.)