Fort hose unfamiliar with the concept, a successive word deletion is best defined by example. From a base word (PANTODON), excise a set of consecutive letters from the interior which form a word (TO). Join together the loose ends (PANDON) and repeat the process (AND). The letters remaining after the second excision (PON), containing the initial and terminal letters of the original word, form a third word. The number of words (in this case, three) into which the original word has been split is k; thus, PANTODON (TO, AND, PON) is a triple deletion.
Word Ways: Vol. 8
, Article 16.
Available at: http://digitalcommons.butler.edu/wordways/vol8/iss3/16