An in depth study on many families of restricted compositions. General results are presented for proving infinite families of congruences and enumerating sequences defined by rational generating functions
This paper is concerned with counting permutations which do not contain certain subsequences. The nu...
AbstractThe paper gives the expressions that yield for every given set of function compositions the ...
AbstractA simple permutation is one that does not map any non-trivial interval onto an interval. It ...
Two proofs, one using generating functions, the other bijective, are given for the following theorem...
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We u...
A composition of a positive integer \u27n\u27 is defined as any sequence of positive integers such t...
An S-restricted composition of a positive integer n is an ordered partitionof n where each summand i...
In this paper, compositions of a natural number are studied. The number of restricted compositions i...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n.A composi...
The composition of two pattern restricted classes X,Y is the set of all permutation products ## whe...
Enumeration of pattern avoiding compositions of numbers Abstract The aim of this work was to find so...
Restricted permutations are those constrained by having to avoid subsequences ordered in various pre...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n. A compos...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n. A compos...
A composition is a sequence of positive integers, called parts, having a fixed sum. By an m-congruen...
This paper is concerned with counting permutations which do not contain certain subsequences. The nu...
AbstractThe paper gives the expressions that yield for every given set of function compositions the ...
AbstractA simple permutation is one that does not map any non-trivial interval onto an interval. It ...
Two proofs, one using generating functions, the other bijective, are given for the following theorem...
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We u...
A composition of a positive integer \u27n\u27 is defined as any sequence of positive integers such t...
An S-restricted composition of a positive integer n is an ordered partitionof n where each summand i...
In this paper, compositions of a natural number are studied. The number of restricted compositions i...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n.A composi...
The composition of two pattern restricted classes X,Y is the set of all permutation products ## whe...
Enumeration of pattern avoiding compositions of numbers Abstract The aim of this work was to find so...
Restricted permutations are those constrained by having to avoid subsequences ordered in various pre...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n. A compos...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n. A compos...
A composition is a sequence of positive integers, called parts, having a fixed sum. By an m-congruen...
This paper is concerned with counting permutations which do not contain certain subsequences. The nu...
AbstractThe paper gives the expressions that yield for every given set of function compositions the ...
AbstractA simple permutation is one that does not map any non-trivial interval onto an interval. It ...