A245616 Pythagorean Threesomes: triples of natural numbers defining the six legs of three Pythagorean triangles.

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

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