Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Alliance between the Romans and Lucanians
A still more important success befell the Romans in Lucania. There also the people with true instinct was in favour of joining the Samnites; but, as an alliance with the Samnites involved peace with Tarentum and a large portion of the governing lords of Lucania were not disposed to suspend their profitable pillaging expeditions, the Romans succeeded in concluding an alliance with Lucania--an alliance which was invaluable, because it provided employment for the Tarentines and thus left the whole power of Rome available against Samnium.
War in Samnium-- The Caudine Pass and the Caudine Peace
Thus Samnium stood on all sides unsupported; excepting that some of the eastern mountain districts sent their contingents. In the year 428 the war began within the Samnite land itself: some towns on the Campanian frontier, Rufrae (between Venafrum and Teanum) and Allifae, were occupied by the Romans. In the following years the Roman armies penetrated Samnium, fighting and pillaging, as far as the territory of the Vestini, and even as far as Apulia, where they were received with open arms; everywhere they had very decidedly the advantage.
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Reference address : https://www.ellopos.net/elpenor/rome/2-06-italians-rome.asp?pg=8