A van der Corput sequence is an example of the simplest one-dimensional low-discrepancy sequence over the unit interval; it was first described in 1935 by the Dutch mathematician J. G. van der Corput. It is constructed by reversing the base-n representation of the sequence of natural numbers (1, 2, 3, …). The b-ary representation of the positive integer n (≥ 1) is where b is the base in which the number n is represented, and 0 ≤ dk(n) < b, i.e. the k-th digit in the b-ary expansion of n.The n-th number in the van der Corput sequence is