

A250026


The 2color Rado numbers for x_1^2 + x_2^2 + ... + x_n^2 = z^2.


0



1, 7825, 105, 37, 23, 18, 20, 20, 15, 16, 20, 23, 17, 21, 26, 17, 23, 28, 25, 29, 29, 26, 36, 32, 27, 38, 33, 35, 41, 36
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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



EXAMPLE

The integers 1 through 105 cannot be 2colored 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



EXTENSIONS



STATUS

approved



