login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Square of main diagonal of 3-dimensional box with coprime integer sides and integer face diagonals.
3

%I #16 May 27 2019 02:03:16

%S 73225,196729,543049,706225,730249,3560089,3584425,6434041,8392849,

%T 14561209,15686089,40742425,43508881,69339625,73878025,85753369,

%U 88450609,90723169,146947321,148031689,180998425,216698161,235198825,273080809

%N Square of main diagonal of 3-dimensional box with coprime integer sides and integer face diagonals.

%C Ordered by length of main diagonal. - _Sean A. Irvine_, May 26 2019

%H Sean A. Irvine, <a href="/A023185/b023185.txt">Table of n, a(n) for n = 1..50</a>

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a023/A023185.java">Java program</a> (github)

%H Jean Lagrange, <a href="http://dx.doi.org/10.1090/S0025-5718-1983-0717711-9">Sets of n Squares of Which Any n — 1 Have Their Sum Square</a>, Mathematics of Computation, Vol 41, Nr 164, Oct 1983.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Euler_brick">Euler brick</a>

%Y Cf. A031173, A031174, A031175.

%K nonn

%O 1,1

%A _David W. Wilson_