x0x1x2x3

x0x1x2x3 is a sequence of numbers, specifically integers, that follows a simple additive pattern. Each term in the sequence is generated by adding one to the previous term. The sequence begins with the number 0. Therefore, the first term is 0. The second term is obtained by adding 1 to 0, resulting in 1. The third term is 1 plus 1, which is 2. The fourth term is 2 plus 1, equaling 3. This progression continues indefinitely.

The sequence can be formally defined by a recursive relation. Let $a_n$ represent the $n$-th term of the sequence. Then, the base case is $a_0 = 0$. For all subsequent terms, the relation is $a_n = a_{n-1} + 1$ for $n \ge 1$. Alternatively, it can be expressed by a direct formula. The $n$-th term of the sequence, starting from $n=0$, is simply $a_n = n$.

The sequence x0x1x2x3 is therefore equivalent to the set of non-negative integers: 0, 1, 2, 3, 4, 5, 6, and so on. It is a fundamental and widely recognized pattern in mathematics, often used as an introductory example in various mathematical and computational contexts due to its simplicity. It represents the concept of counting from zero.