|
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 Chrysanthemum |
|---|
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 |
|