This triangle shows the numbers of female Boolean functions with arity and valency .
The right diagonal is = 1, 0, 2, 90, 31826, 2147158386... (compare A007537)
This is Pascal's triangle with column multiplied by .
The row sums are A246537.
k n |
0 |
1 |
2 |
3 |
4 |
5 |
sums
|
0
|
1 · 1 1
|
|
|
|
|
|
1
|
1
|
1 · 1 1
|
1 · 0 0
|
|
|
|
|
1
|
2
|
1 · 1 1
|
2 · 0 0
|
1 · 2 2
|
|
|
|
3
|
3
|
1 · 1 1
|
3 · 0 0
|
3 · 2 6
|
1 · 90 90
|
|
|
97
|
4
|
1 · 1 1
|
4 · 0 0
|
6 · 2 12
|
4 · 90 360
|
1 · 31826 31826
|
|
32199
|
5
|
1 · 1 1
|
5 · 0 0
|
10 · 2 20
|
10 · 90 900
|
5 · 31826 159130
|
1 · 2147158386 2147158386
|
2147318437
|
|