Sequence ExAgave

Studies of Boolean functions
sequences related to Boolean functions
triangles by arity and strength
base
triangle		 diagonal families BF
triangle total triangle total
all Oak (Ex)Aloe Olive Thyme ExOlive Grass
balanced (Ex)Agave Laurel Saffron ExLaurel Sesame
dense Birch (Ex)Aloe Lemon Lily ExLemon Lotus
b & d (Ex)Agave Orange Chamomile ExOrange Calendula
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 SignedCypress Lily Grass SignedCedar Lotus
balanced & dense Saffron SignedOlearia Chamomile Sesame SignedOleander Calendula
01234567
0205612000600699648183262410309062246423951146041928082633392325081663143936

ExAgave is the product of Agave and the powers of two.

a ↦ strong balanced BF ExAgave(a) is the number of strong balanced BF with arity a.
row sums of SignedBerberis

The absolute values are Oak with diagonals multiplied by Chrysanthemum and columns multiplied by Thyme.

triangle SignedBerberis    row sums Aloe
k
n
01234567sums
0 1 · 1 · 2 2 2
1 1 · 1 · 2 −2 1 · 1 · 3 3 1
2 1 · 2 · 2 4 3 · 1 · 3 −9 1 · 1 · 7 7 2
3 1 · 8 · 2 −16 7 · 2 · 3 42 7 · 1 · 7 −49 1 · 1 · 46 46 23
4 1 · 64 · 2 128 15 · 8 · 3 −360 35 · 2 · 7 490 15 · 1 · 46 −690 1 · 1 · 4336 4336 3904
5 1 · 1024 · 2 −2048 31 · 64 · 3 5952 155 · 8 · 7 −8680 155 · 2 · 46 14260 31 · 1 · 4336 −134416 1 · 1 · 134281216 134281216 134156284
6 1 · 32768 · 2 65536 63 · 1024 · 3 −193536 651 · 64 · 7 291648 1395 · 8 · 46 −513360 651 · 2 · 4336 5645472 63 · 1 · 134281216 −8459716608 1 · 1 · 288230380379570176 288230380379570176 288230371925149328
7 1 · 2097152 · 2 −4194304 127 · 32768 · 3 12484608 2667 · 1024 · 7 −19117056 11811 · 64 · 46 34771584 11811 · 8 · 4336 −409699968 2667 · 2 · 134281216 716256006144 127 · 1 · 288230380379570176 −36605258308205412352 1 · 1 · 2658455991569831764110243006194384896 2658455991569831764110243006194384896 2658455991569831727504985413859223552
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