Built on

Abramowitz, M. and Stegum, I.A., editors. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. National Bureau of Standards, 1972
1972
Earlier work this paper cites.

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Oldham, K., Myland, J. and Spanier, J. An Atlas of Functions
2009
Cited alongside, same era.
Holroyd, A. E. and Liggett, T. M. Finitely dependent coloring. arXiv:1403.2448
Original
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2014

Symmetric 1-Dependent Colorings of the Integers

Holroyd, Alexander E., Liggett, Thomas M.

Understand

In a recent paper by the same authors, we constructed a stationary 1-dependent 4-coloring of the integers that is invariant under permutations of the colors.

This was the first stationary k-dependent q-coloring for any k and q.
When the analogous construction is carried out for q>4 colors, the resulting process is not k-dependent for any k.
We construct here a process that is symmetric in the colors and 1-dependent for every q>=4.