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
KEYWORD
nonn
AUTHOR
Andreas Boe, Nov 05 2014
EXTENSIONS
Edited by N. J. A. Sloane, Feb 11 2016
STATUS
approved