Template:Gender of Boolean functions/triangles/total



This triangle shows the numbers of Boolean functions with arity $$n$$ and valency $$k$$. The right diagonal is $$\boldsymbol{p}$$ =. $$\boldsymbol{p}(n)$$ is the number of non-degenerate $$n$$-ary Boolean functions. (See root.) This is with column $$k$$ multiplied by $$\boldsymbol{p}(k)$$.

The sum of row $$n$$ is $$2 ^ {2 ^ n}$$. 