Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo, MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS I, Taiwanese Journal of Mathematics, Vol. 7, No. 1 (March 2003), pp. 89-101 ...

SAS/IML software has many built-in functions that generate useful matrices. For example, the J function creates a matrix with a given dimension and element value when you supply the number of rows and ...

This problem and its siblings can be understood through generating functions with 0/1 coefficients according to whether or not an integer is representable. In the 2-parameter case, this generating ...