Power of two
Two raised to an integer power
Power of two
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with the number two as the base and integer n as the exponent. In the fast-growing hierarchy, 2n is exactly equal to f 1 n ( 1 ) {\displaystyle f_{1}^{n}(1)} . In the Hardy hierarchy, 2n is exactly equal to H ω n ( 1 ) {\displaystyle H_{\omega {n}}(1)} . Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is n 2s multiplied together. The first ten powers of 2 for non-negative values of n are: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ... (sequence A000079 in the OEIS) By comparison, powers of two with negative exponents are fractions: for positive integer...
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