The author computes the Kleinberg sequences derived from the three different normal ultrafilters on δ₃¹.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-4,
author = {Benedikt L\"owe},
title = {Kleinberg sequences and partition cardinals below d51},
journal = {Fundamenta Mathematicae},
volume = {173},
year = {2002},
pages = {69-76},
zbl = {0999.03047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-4}
}
Benedikt Löwe. Kleinberg sequences and partition cardinals below δ₅¹. Fundamenta Mathematicae, Tome 173 (2002) pp. 69-76. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm171-1-4/