ABSTRACT

It is often useful and interesting to know how a combinatorial sequence looks like “globally.” How rapidly does it grow/decrease? Can we find simple uniform bounds for it? Where are its maxima and minima? The first two of these questions will be studied in Chapter 7. Regarding the third question, it turns out that many two-parameter counting sequences grow, reach an index, then decrease, so the localization of the maxima is a well-motivated question.