(logic, maths) the application of a function to its own values to generate an infinite sequence of values. The recursion formula or clause of a definition specifies the progression from one term to the next, as given the base clause f(0) = 0, f(n + 1) = f(n) + 3 specifies the successive terms of the sequence f(n) = 3n
1610s, from Latin recursionem (nominative recursio) "a running backward, return," noun of action from past participle stem of recurrere "run back" (see recur).