The positive integers are the numbers 1, 2, 3, ... (OEIS A000027), sometimes called the counting numbers or natural numbers, denoted Z^+. They are the solution to the simple linear recurrence equation a_n = a_(n - 1) + 1 with a_1 = 1. A plot of the first few positive integers represented as a sequence of binary bits is shown above. The top portion shows S_1 to S_255, and the bottom shows the next 510 values.
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