A000009

A000009 refers to the sequence of numbers that are powers of 2. This sequence begins with 2^0 = 1, 2^1 = 2, 2^2 = 4, 2^3 = 8, and so on. Each term in the sequence is obtained by multiplying the previous term by 2. In mathematical notation, the nth term of this sequence can be represented as 2^n, where n starts from 0. These numbers are fundamental in computer science, as they relate to binary representations and memory capacities. They also appear in various mathematical contexts, including number theory and combinatorics. The OEIS (Online Encyclopedia of Integer Sequences) identifies this sequence with the number A000009. Examples of terms in the sequence include 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, and 1024. The sequence is infinite, continuing indefinitely with increasing powers of 2.