The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A196165 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A196165

Positive integers a for which there is a primitive 6-Pythagorean triple (a,b,c) satisfying a<=b.
(history; published version)

#5 by Russ Cox at Fri Mar 30 18:57:49 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Sep 28 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#4 by T. D. Noe at Thu Sep 29 15:56:48 EDT 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Thu Sep 29 15:54:13 EDT 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Wed Sep 28 20:53:39 EDT 2011

NAME

allocated Positive integers a for Clark Kimberlingwhich there is a primitive 6-Pythagorean triple (a,b,c) satisfying a<=b.

DATA

2, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26, 27, 29, 30, 30, 31, 33, 33, 34, 38, 39, 39, 42, 42, 45, 46, 48, 50, 51, 51, 54, 55, 57, 57, 58, 60, 60, 60, 62, 65, 66, 66, 68

OFFSET

1,1

COMMENTS

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

EXAMPLE

Primitive 6-Pythagorean triples a,b,c;

c^2=a^2+b^2+k*a*b, where k=6:

2,3,7

3,10,17

4,21,31

5,12,23

5,36,49

6,55,71

7,30,47

7,78,97

8,105,127

9,56,79

MATHEMATICA

(See A196162.)

CROSSREFS

Cf. A195770, A196162, A196166, A196167.

KEYWORD

allocated

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Sep 28 2011

STATUS

approved

editing

#1 by Clark Kimberling at Wed Sep 28 15:17:12 EDT 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved