Triangle Rowan

Studies of Boolean functions
sequences related to seals

Triangles Rowan(Drop)

MaimedStackedHeather(n, k) is almost the same as Heather(k), but the first entry in every positive row is 0 instead of 1.

So the entries of Rowan are entries of Heather multiplied by a factor:
For positive k: Rowan(n, k) = Heather(k) · (n − k + 1)     E.g. Rowan(6, 4) = Heather(4) · (6 − 4 + 1) = 8 · 3 = 24.

🌊    triangle Rowan    row sums Calluna
k
n
 0 1 2 3 4 5 6 7 sums
0 1 1
1 1 1 2
2 1 2 2 5
3 1 3 4 4 12
4 1 4 6 8 8 27
5 1 5 8 12 16 16 58
6 1 6 10 16 24 32 36 125
7 1 7 12 20 32 48 72 80 272
💧    triangle MaimedStackedHeather    row sums MaimedClover
k
n
 0 1 2 3 4 5 6 7 sums
0 1 1
1 0 1 1
2 0 1 2 3
3 0 1 2 4 7
4 0 1 2 4 8 15
5 0 1 2 4 8 16 31
6 0 1 2 4 8 16 36 67
7 0 1 2 4 8 16 36 80 147

Compare StackedHeather.

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