Triangle Ardisia
From Wikiversity - Reading time: 2 min
| Studies of Boolean functions sequences related to Boolean functions |
Ardisia is turned Rhododendron with columns multiplied by Saffron. (Rhododendron is Oak with columns multiplied by Chrysanthemum.)
Oak with diagonals multiplied by Chrysanthemum and columns multiplied by Saffron
🌊 triangle [[ |Ardisia]]
| |||||||||
|---|---|---|---|---|---|---|---|---|---|
k n |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | sums |
| 0 | 1 · 1 · 0 0 | 0 | |||||||
| 1 | 1 · 1 · 0 0 | 1 · 1 · 1 1 | 1 | ||||||
| 2 | 1 · 2 · 0 0 | 3 · 1 · 1 3 | 1 · 1 · 3 3 | 6 | |||||
| 3 | 1 · 8 · 0 0 | 7 · 2 · 1 14 | 7 · 1 · 3 21 | 1 · 1 · 14 14 | 49 | ||||
| 4 | 1 · 64 · 0 0 | 15 · 8 · 1 120 | 35 · 2 · 3 210 | 15 · 1 · 14 210 | 1 · 1 · 870 870 | 1410 | |||
| 5 | 1 · 1024 · 0 0 | 31 · 64 · 1 1984 | 155 · 8 · 3 3720 | 155 · 2 · 14 4340 | 31 · 1 · 870 26970 | 1 · 1 · 18796230 18796230 | 18833244 | ||
| 6 | 1 · 32768 · 0 0 | 63 · 1024 · 1 64512 | 651 · 64 · 3 124992 | 1395 · 8 · 14 156240 | 651 · 2 · 870 1132740 | 63 · 1 · 18796230 1184162490 | 1 · 1 · 28634752793916486 28634752793916486 | 28634753979557460 | |
| 7 | 1 · 2097152 · 0 0 | 127 · 32768 · 1 4161536 | 2667 · 1024 · 3 8193024 | 11811 · 64 · 14 10582656 | 11811 · 8 · 870 82204560 | 2667 · 2 · 18796230 100259090820 | 127 · 1 · 28634752793916486 3636613604827393722 | 1 · 1 · 187118328452563149209991044344449606 187118328452563149209991044344449606 | 187118328452563152846604749536075924 |
Triangle SignedArdisia
[edit | edit source]| families | BF | |||
|---|---|---|---|---|
| triangle | total | triangle | total | |
| dense | SignedCypress | Lily | SignedCedar | Lotus |
| balanced & dense | SignedOlearia | Chamomile | SignedOleander | Calendula |
| strong | SignedBerberis | Aloe | SignedBramble | ExAloe |
| balanced & strong | SignedArdisia | Agave | SignedAronia | ExAgave |
The absolute values are Oak with diagonals multiplied by Chrysanthemum and columns multiplied by Saffron.
| triangle [[|SignedArdisia]] row sums Agave
| |||||||||
|---|---|---|---|---|---|---|---|---|---|
k n |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | sums |
| 0 | 1 · 1 · 0 0 | 0 | |||||||
| 1 | 1 · 1 · 0 0 | 1 · 1 · 1 1 | 1 | ||||||
| 2 | 1 · 2 · 0 0 | 3 · 1 · 1 −3 | 1 · 1 · 3 3 | 0 | |||||
| 3 | 1 · 8 · 0 0 | 7 · 2 · 1 14 | 7 · 1 · 3 −21 | 1 · 1 · 14 14 | 7 | ||||
| 4 | 1 · 64 · 0 0 | 15 · 8 · 1 −120 | 35 · 2 · 3 210 | 15 · 1 · 14 −210 | 1 · 1 · 870 870 | 750 | |||
| 5 | 1 · 1024 · 0 0 | 31 · 64 · 1 1984 | 155 · 8 · 3 −3720 | 155 · 2 · 14 4340 | 31 · 1 · 870 −26970 | 1 · 1 · 18796230 18796230 | 18771864 | ||
| 6 | 1 · 32768 · 0 0 | 63 · 1024 · 1 −64512 | 651 · 64 · 3 124992 | 1395 · 8 · 14 −156240 | 651 · 2 · 870 1132740 | 63 · 1 · 18796230 −1184162490 | 1 · 1 · 28634752793916486 28634752793916486 | 28634751610790976 | |
| 7 | 1 · 2097152 · 0 0 | 127 · 32768 · 1 4161536 | 2667 · 1024 · 3 −8193024 | 11811 · 64 · 14 10582656 | 11811 · 8 · 870 −82204560 | 2667 · 2 · 18796230 100259090820 | 127 · 1 · 28634752793916486 −3636613604827393722 | 1 · 1 · 187118328452563149209991044344449606 187118328452563149209991044344449606 | 187118328452563145573377539700493312 |
Licensed under CC BY-SA 3.0 | Source: https://en.wikiversity.org/wiki/Triangle_Ardisia8 views | Status: cached on April 19 2025 22:25:50↧ Download this article as ZWI file
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