Analogously we define the last maximum and the descent following it. Two examples for the compositions of 17 illustrating these descents are: Firstly, 135143.

Greatest descents after any maxima in compositions. Greatest descents after any maxima in compositions ... descents. We define a descent to be σm-σm+1 if m ...

Dec 11, 2015 · Greatest Descents after any Maxima in Compositions · Margaret Archibald · Aubrey Blecher · Charlotte Brennan · Arnold Knopfmacher. DOI: https:// ...

+σk=n. We define a maximum to be any part which is not less than any other part. The variable of interest is the size of the descent immediately following the ...

Mar 1, 2014 · The variable of interest is the size of the descent immediately following the first and the last maximum. Using generating functions and Mellin ...

The size of the descents immediately following any maximum is investigated and the largest and average of these are obtained, obtaining the generating ...

We investigate the size of the descents immediately following any maximum and we focus particularly on the largest and average of these, obtaining the ...

In 3 1 4 4 1 4, there are three maxima with value 4. The descent sizes are 0, 3 and 4. Thus the average descent is 7/3 and the greatest ...

We investigate the size of the descents immediately following any maximum and we focus particularly on the largest and average of these, obtaining the ...

We define a maximum to be a part which is greater than or equal to all other parts. We investigate the size of the descents immediately following any maximum ...