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A195990 Positive integers a for which there is a primitive (1/3)-Pythagorean triple (a,b,c) satisfying a<=b. 4
3, 5, 5, 7, 8, 8, 9, 9, 11, 11, 13, 16, 17, 19, 19, 21, 23, 27, 27, 27, 29, 31, 31, 32, 32, 33, 37, 37, 39, 41, 43, 45, 45, 48, 48, 51, 51, 56, 57, 61, 63, 63, 63, 64, 67, 69, 72, 72, 72, 72, 73, 75, 77, 79, 80, 80, 81, 85, 87, 88, 88, 96, 97, 99, 99, 99, 104, 115 (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..68.

EXAMPLE

Primitive (1/3)-Pythagorean triples

(c^2=a^2+b^2+k*a*b, where k=1/3):

3,8,9

5,9,11

5,72,73

7,27,29

8,9,13

8,45,47

9,13,17

9,77,79

11,48,51

11,351,353

MATHEMATICA

(See A195939.)

CROSSREFS

Cf. A195770, A195939, A195991, A195992.

Sequence in context: A206768 A168322 A138475 * A023840 A276501 A131421

Adjacent sequences:  A195987 A195988 A195989 * A195991 A195992 A195993

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 26 2011

STATUS

approved

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Last modified August 11 15:12 EDT 2020. Contains 336428 sequences. (Running on oeis4.)