Add to ORKGWe find relationships between subword patterns and residue classes of parts in the set of integer compositions of a given weight. In particular, we show that it is always possible to express the total number of parts in compositions of n that are congruent to i modulo m as a linear combination of the total number of occurrences of subword patterns of length no more than m. We also find an explicit formula enumerating all such parts
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Dire...
A composition is a sequence of positive integers, called parts, having a fixed sum. By an m-congruen...
CombinatoricsA composition is a sequence of positive integers, called parts, having a fixed sum. By ...
A “composition” of an integer n is a tuple of positive integers that sum to n. Thus the set of all c...
A composition of an integer n is a tuple of positive integers that sum up to n. Our study began with...
A composition of an integer n is a tuple of positive integers that sum up to n. Our study began with...
Let ℕ be the set of all positive integers and let A be any ordered subset of ℕ. Recently, Heubach an...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n.A composi...
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We u...
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 composi...
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...
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We u...
Let A be any set of positive integers and n ∈ N. A composition of n with parts in A is an ordered co...
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Dire...
A composition is a sequence of positive integers, called parts, having a fixed sum. By an m-congruen...
CombinatoricsA composition is a sequence of positive integers, called parts, having a fixed sum. By ...
A “composition” of an integer n is a tuple of positive integers that sum to n. Thus the set of all c...
A composition of an integer n is a tuple of positive integers that sum up to n. Our study began with...
A composition of an integer n is a tuple of positive integers that sum up to n. Our study began with...
Let ℕ be the set of all positive integers and let A be any ordered subset of ℕ. Recently, Heubach an...
A composition of a nonnegative integer n is a sequence of positive integers whose sum is n.A composi...
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We u...
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 composi...
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...
Integer compositions are ordered sequences of positive integers that sum up to a given integer. We u...
Let A be any set of positive integers and n ∈ N. A composition of n with parts in A is an ordered co...
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Dire...
A composition is a sequence of positive integers, called parts, having a fixed sum. By an m-congruen...
CombinatoricsA composition is a sequence of positive integers, called parts, having a fixed sum. By ...