Spatial equidistribution of combinatorial number schemes

In this paper we use a generalized Lucas type congruence for certain combinatorial number schemes to de ne IFS. We show some distribution properties of these fractals. As an application we prove that the binomial coe cients, the Stirling numbers of the rst and second kind as well as the multinomial coe cients are spatially equidistributed in the nonzero… (More)