This paper posits a new method to analyze r-sequences without limitation as to type of number or the value of the seeds. That method is then used to derive identities applicable to all r-sequences, including a counterpart to Cassini’s Formula. The paper also shows that any element in an r-sequence can be expressed as a linear function of r randomly chosen consecutive elements of the r-sequence using coecients which are identical for all sequences of the same order.
展开▼
