OFFSET
1,2
COMMENTS
The value of a(2) was only recently discovered (see Heule, Kullmann, & Marek link). - Kellen Myers, May 27 2016
REFERENCES
Paul Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Université de Genève, L'Enseignement Mathématique 28 (1980).
LINKS
Marijn J. H. Heule, Oliver Kullmann, Victor W. Marek, Solving and Verifying the boolean Pythagorean Triples problem via Cube-and-Conquer arXiv:1605.00723 [math.CO], May 2016.
Kellen Myers, A Note on a Question of Erdős & Graham, arXiv:1501.05085 [math.CO], Jan 2015.
Kellen Myers and Joseph Parrish, Some Nonlinear Rado Numbers, Integers, 18B (2018), #A6.
EXAMPLE
The integers 1 through 105 cannot be 2-colored without inducing a monochromatic solution to x^2+y^2+w^2=z^2 (and 105 is the least such number), thus a(3)=105.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Kellen Myers, Nov 10 2014
EXTENSIONS
a(18)-a(30) from Kellen Myers, Mar 17 2015
a(1)-a(2) from Kellen Myers, May 27 2016
STATUS
approved