
doi: 10.61091/ojac-1306
We introduce the notion of capacity (ability to contain water) for compositions. Initially the compositions are defined on a finite alphabet \([k]\) and thereafter on \(\mathbb{N}\). We find a capacity generating function for all compositions, the average capacity generating function and an asymptotic expression for the average capacity as the size of the composition increases to infinity
Permutations, words, matrices, asymptotics, compositions, generating functions, Exact enumeration problems, generating functions, Asymptotic enumeration, water capacity
Permutations, words, matrices, asymptotics, compositions, generating functions, Exact enumeration problems, generating functions, Asymptotic enumeration, water capacity
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