Ononot — A Boolean function f: \{0, 1\}^n \to \{0, 1\} is monotone if

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A Boolean function $f: \{0, 1\}^n \to \{0, 1\}$ is monotone if for any $x, y \in \{0, 1\}^n$ , $x \le y$ (component-wise) implies $f(x) \le f(y)$ . The number of monotone Boolean functions of $n$ variables is known as the $n$ -th Dedekind number. What is the number of monotone Boolean functions of $3$ variables?