The following two sentences are taken from A comprehensive grammar of the English language by R. Quirk et al.:
"He saw one or other of the men."
"All of the compounds to be listed in this section are formed on one or other of the patterns already described."
And there are many more sentences in which "one or other" is used. Can it be considered correct? To my ears "one or other" doesn't seem grammatical. There's "one or another" or "one or the other".... But the above-mentioned one looks a bit strange.