Template:Gender of Boolean functions/triangles/female



This triangle shows the numbers of female Boolean functions with arity $$n$$ and valency $$k$$. The right diagonal is $$\boldsymbol{d} = \boldsymbol{p} - \boldsymbol{q}$$ = 1, 0, 2, 90, 31826, 2147158386... (compare ) This is Pascal's triangle with column $$k$$ multiplied by $$\boldsymbol{d}(k)$$.

The row sums are.