The random sequence 202 includes entries 204-0, 204-1, 204-2, 204-3, 204-4, 204-5, 204-6, 204-7, 204-8, 204-9, 204-10, 204-11, 204-12, 204-13, 204-14, 204-15, 204-16, etc., each of these entries carrying a respective value. For purposes of illustrated, indices of the entries are illustrated in FIG. 2. For example, FIG. 2 illustrates the index “0” of the entry 204-0, the index “1” of the entry 204-1, the index “2” of the entry 204-2, etc. In this regard, it is understood that such indices do not denote actual values of the random sequence, e.g., actual values that specify respective locations within a pixel. Rather, the indices merely represent positions of values within the sequence 202. In contrast, each value of the sequence 202 (e.g., the value carried at the index “0,” the value carried at the index “1,” the value carried at the index “2,” etc.) may specify a location at which a ray is to be traced into the pixel.

The random sequence 202 may be an optimized, stratified random sequence. Different rendering engines may access entries of the random sequence 202 in an interleaved access order based on respective offsets. For example, if the number of rendering engines is equal to 3, then the entries in the random sequence 202 may be considered as being divided into 3 subsets or subgroups.