MULTIDIMENSIONAL GREATEST PRIME FACTOR SEQUENCES
If is the set of prime numbers and d is a positive integer, we introduce and discuss the class of sequences in satisfying a recurrence relation of the form for where A is a nonnegative integer matrix with non-zero rows, B is a nonnegative integer vector, and where the greatest prime factor function P is applied componentwise. We formulate a general conjecture of ultimate periodicity for such sequences and prove a number of elementary special cases.
greatest prime factor, recurrent sequences.