|
| |
|
|
A245616
|
|
Pythagorean Threesomes: triples of natural numbers defining the six legs of three Pythagorean triangles.
|
|
2
|
|
|
|
44, 117, 240, 240, 252, 275, 88, 234, 480, 85, 132, 720, 160, 231, 792, 132, 351, 720, 480, 504, 550, 176, 468, 960, 170, 264, 1440, 220, 585, 1200, 720, 756, 825, 320, 462, 1584, 264, 702, 1440, 308, 819, 1680, 255, 396, 2160, 960, 1008, 1100, 352, 936, 1920, 480, 693, 2376, 396, 1053, 2160, 429, 880, 2340, 340, 528, 2880
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
The sequence is sorted by increasing sums of triples and secondly by increasing order of first term.
The three numbers in a Pythagorean Threesome define the lengths of three sides of a tetrahedron with all integer length edges and one right angle vertex.
The sequence was calculated for the science fiction novel "The Fifth Jack" by Andreas Boe, Amazon books, 2014.
I do not have that book, but this sequence is closely related to (and may be an erroneous version of) A268396. - Arkadiusz Wesolowski, Feb 03 2016
|
|
|
LINKS
|
Andreas Boe, Table of n, a(n) for n = 1..285
|
|
|
FORMULA
|
x,y,sqrt(x^2+y^2) y,z,sqrt(y^2+z^2) z,x,sqrt(z^2+x^2)
|
|
|
EXAMPLE
|
(44,117,240) sqrt(44^2+117^2)=125 sqrt(117^2+240^2)=267 sqrt(240^2+44^2)=244
|
|
|
CROSSREFS
|
Same numbers sorted gives A195816.
Cf. A268396.
Sequence in context: A094128 A340178 A268396 * A264446 A039441 A044295
Adjacent sequences: A245613 A245614 A245615 * A245617 A245618 A245619
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Andreas Boe, Nov 05 2014
|
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane, Feb 11 2016
|
|
|
STATUS
|
approved
|
| |
|
|
