Triangle Cypress

Studies of Boolean functions
sequences related to Boolean functions

Triangle Cypress

Pascal with columns multiplied by Thyme

triangle
k
n
 0 1 2 3 4 5 sums
0 1 · 2 2 2
1 1 · 2 2 1 · 3 3 5
2 1 · 2 2 2 · 3 6 1 · 7 7 15
3 1 · 2 2 3 · 3 9 3 · 7 21 1 · 46 46 78
4 1 · 2 2 4 · 3 12 6 · 7 42 4 · 46 184 1 · 4336 4336 4576
5 1 · 2 2 5 · 3 15 10 · 7 70 10 · 46 460 5 · 4336 21680 1 · 134281216 134281216 134303443

Triangle SignedCypress

signed triangles
base
triangle 		families BF
diagonal triangle total diagonal triangle total
strong Turned
Rhodo. 		Thyme SignedBerberis Aloe Grass SignedBramble ExAloe
balanced & strong Saffron SignedArdisia Agave Sesame SignedAronia ExAgave
dense Pascal Thyme Lily Grass SignedCedar Lotus
balanced & dense Saffron SignedOlearia Chamomile Sesame SignedOleander Calendula

The absolute values are Pascal with columns multiplied by Thyme.

triangle SignedCypress    row sums Lily
k
n
 0 1 2 3 4 5 sums
0 1 · 2 2 2
1 1 · 2 −2 1 · 3 3 1
2 1 · 2 2 2 · 3 −6 1 · 7 7 3
3 1 · 2 −2 3 · 3 9 3 · 7 −21 1 · 46 46 32
4 1 · 2 2 4 · 3 −12 6 · 7 42 4 · 46 −184 1 · 4336 4336 4184
5 1 · 2 −2 5 · 3 15 10 · 7 −70 10 · 46 460 5 · 4336 −21680 1 · 134281216 134281216 134259939
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