euclidean-decomposition

Euclidean Decomposition

This site is a public junction for the Euclidean decomposition of the multiplication table, its OEIS sequences, Zenodo papers, reproducibility code, and support visualizations.

For a fixed integer (n), multiplication table entries may be written as

i*j = q*n + r,

where (q) is the quotient and (r) is the remainder. This gives rise to the master array

A(n,q,r) = #{(i,j) : i*j = q*n + r}.

Different projections, slices, supports, and multiplicities of this array are recorded in OEIS and discussed in the linked papers.

Sections

Repository

The source repository is available at github.com/FDW-HK/euclidean-decomposition.