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Sequence Saffron

From Wikiversity - Reading time: 3 min
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

Sequences Saffron(Drop)

[edit | edit source]
0 1 2 3 4 5
🌊 Saffron 0 1 3 14 870 18796230
💧 SaffronDrop 0 1 2 11 856 18795360

Saffron is the central column of tiara Emerald.

a ↦ balanced families Saffron(a)
SaffronDrop(a) 		is the number of balanced families with arity
adicity 		a.
row sums of Laurel(Drop)

Oak with columns multiplied by Agave

🌊    triangle Laurel (A227724)    row sums Saffron
k
n
 0 1 2 3 4 5 sums
0 1 · 0 0 0
1 1 · 0 0 1 · 1 1 1
2 1 · 0 0 3 · 1 3 1 · 0 0 3
3 1 · 0 0 7 · 1 7 7 · 0 0 1 · 7 7 14
4 1 · 0 0 15 · 1 15 35 · 0 0 15 · 7 105 1 · 750 750 870
5 1 · 0 0 31 · 1 31 155 · 0 0 155 · 7 1085 31 · 750 23250 1 · 18771864 18771864 18796230

OakDrop with columns multiplied by Agave

💧    triangle LaurelDrop    row sums SaffronDrop
k
n
 0 1 2 3 4 5 sums
0 1 · 0 0 0
1   0 1 · 1 1 1
2   0 2 · 1 2 1 · 0 0 2
3   0 4 · 1 4 6 · 0 0 1 · 7 7 11
4   0 8 · 1 8 28 · 0 0 14 · 7 98 1 · 750 750 856
5   0 16 · 1 16 120 · 0 0 140 · 7 980 30 · 750 22500 1 · 18771864 18771864 18795360 


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  0, 
  1, 
  3, 
  14, 
  870, 
  18796230, 
  28634752793916486, 
  187118328452563149209991044344449606, 
  22533823529098462258163079522899558179092788838542277982316450977506091590, 
  922955670224540869119149160256223416949630303989222426908845428034308731131863057623892273579722854259228632672010201445381801768215665533633663386182, 
 4376225148534151181664223486798176933608699081120836908609460839262474322862734028116293105539955137056806087908807229299812013351930172713574095687135839340332815801390464700679415721755397234951104278389752312048646948376664461972339533387772739208990822848401012423551863454109614426370669961581838918
]
Licensed under CC BY-SA 3.0 | Source: https://en.wikiversity.org/wiki/Sequence_Saffron
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