Pascal matrix
Infinite matrices with Pascal's triangle as elements / From Wikipedia, the free encyclopedia
In mathematics, particularly matrix theory and combinatorics, a Pascal matrix is a matrix (possibly infinite) containing the binomial coefficients as its elements. It is thus an encoding of Pascal's triangle in matrix form. There are three natural ways to achieve this: as a lower-triangular matrix, an upper-triangular matrix, or a symmetric matrix. For example, the 5 × 5 matrices are:
There are other ways in which Pascal's triangle can be put into matrix form, but these are not easily extended to infinity.[1]