On sequences of events with repetitions
Joe Gani · Stochastic Models · 1998
This note examines the number of sequences of independent trials each of which may result in one of mutually exclusive events , but not containing a repetition of the particular event Ai: It is pointed out that for k = 2 it is known that is the Fibonacci number We obtain an explicit result for and then generalize this to the number of sequences not containing an m-repetition of the event Ai