|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7
|
| 0-padded triangular numbers (~A000217)
|
0 |
0 |
1 |
3 |
6 |
10 |
15 |
21
|
| Chrysanthemum (A006125)
|
1 |
1 |
2 |
8 |
64 |
1024 |
32768 |
2097152
|
This is the diagonal in triangles Rhododendron(Drop).
It also appears in the definition of some signed triangles (e.g. SignedBerberis), making it part of the definition of some sequences (e.g. Aloe).
| row sums of Eukalyptus
|
| triangle Eukalyptus row sums
|
k n |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
sums
|
| 0
|
1
|
|
|
|
|
|
|
|
|
1
|
| 1
|
0
|
1
|
|
|
|
|
|
|
|
1
|
| 2
|
0
|
1
|
1
|
|
|
|
|
|
|
2
|
| 3
|
0
|
3
|
4
|
1
|
|
|
|
|
|
8
|
| 4
|
0
|
21
|
31
|
11
|
1
|
|
|
|
|
64
|
| 5
|
0
|
315
|
486
|
196
|
26
|
1
|
|
|
|
1024
|
| 6
|
0
|
9765
|
15381
|
6562
|
1002
|
57
|
1
|
|
|
32768
|
| 7
|
0
|
615195
|
978768
|
428787
|
69688
|
4593
|
120
|
1
|
|
2097152
|
| 8
|
0
|
78129765
|
124918731
|
55434717
|
9279163
|
652999
|
19833
|
247
|
1
|
268435456
|
|