A022166
data
|
π triangle Oak (A022166) row sums Daisy (A006116)
|
k n |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
sums
|
0
|
1
|
|
|
|
|
|
|
|
1
|
1
|
1
|
1
|
|
|
|
|
|
|
2
|
2
|
1
|
3
|
1
|
|
|
|
|
|
5
|
3
|
1
|
7
|
7
|
1
|
|
|
|
|
16
|
4
|
1
|
15
|
35
|
15
|
1
|
|
|
|
67
|
5
|
1
|
31
|
155
|
155
|
31
|
1
|
|
|
374
|
6
|
1
|
63
|
651
|
1395
|
651
|
63
|
1
|
|
2825
|
7
|
1
|
127
|
2667
|
11811
|
11811
|
2667
|
127
|
1
|
29212
|
|
|
|
A139382 with trivial column on the left
data
|
triangle Birch (~A139382) row sums Aster (A135922)
|
k n |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
sums
|
0
|
1
|
|
|
|
|
|
|
|
1
|
1
|
0
|
1
|
|
|
|
|
|
|
1
|
2
|
0
|
1
|
1
|
|
|
|
|
|
2
|
3
|
0
|
1
|
4
|
1
|
|
|
|
|
6
|
4
|
0
|
1
|
13
|
11
|
1
|
|
|
|
26
|
5
|
0
|
1
|
40
|
90
|
26
|
1
|
|
|
158
|
6
|
0
|
1
|
121
|
670
|
480
|
57
|
1
|
|
1330
|
7
|
0
|
1
|
364
|
4811
|
7870
|
2247
|
120
|
1
|
15414
|
|
|
|
|
|
Daisy is A006116. Dahlia is A182176 with a leading 1.
data
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7
|
Daisy
|
1 |
2 |
5 |
16 |
67 |
374 |
2825 |
29212
|
Dahlia
|
1 |
1 |
3 |
11 |
51 |
307 |
2451 |
26387
|
|
|
|
|
|
data
|
π triangle Oak (A022166) row sums Daisy (A006116)
|
k n |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
sums
|
0
|
1
|
|
|
|
|
|
|
|
1
|
1
|
1
|
1
|
|
|
|
|
|
|
2
|
2
|
1
|
3
|
1
|
|
|
|
|
|
5
|
3
|
1
|
7
|
7
|
1
|
|
|
|
|
16
|
4
|
1
|
15
|
35
|
15
|
1
|
|
|
|
67
|
5
|
1
|
31
|
155
|
155
|
31
|
1
|
|
|
374
|
6
|
1
|
63
|
651
|
1395
|
651
|
63
|
1
|
|
2825
|
7
|
1
|
127
|
2667
|
11811
|
11811
|
2667
|
127
|
1
|
29212
|
|
Offset Oak with diagonals multiplied by powers of two.
π§ triangle Maple (~A289537) row sums Dahlia (~A182176)
|
k n |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
sums
|
0
|
1
|
|
|
|
|
|
|
|
1
|
1
|
0
|
1 Β· 1 1
|
|
|
|
|
|
|
1
|
2
|
0
|
1 Β· 2 2
|
1 Β· 1 1
|
|
|
|
|
|
3
|
3
|
0
|
1 Β· 4 4
|
3 Β· 2 6
|
1 Β· 1 1
|
|
|
|
|
11
|
4
|
0
|
1 Β· 8 8
|
7 Β· 4 28
|
7 Β· 2 14
|
1 Β· 1 1
|
|
|
|
51
|
5
|
0
|
1 Β· 16 16
|
15 Β· 8 120
|
35 Β· 4 140
|
15 Β· 2 30
|
1 Β· 1 1
|
|
|
307
|
6
|
0
|
1 Β· 32 32
|
31 Β· 16 496
|
155 Β· 8 1240
|
155 Β· 4 620
|
31 Β· 2 62
|
1 Β· 1 1
|
|
2451
|
7
|
0
|
1 Β· 64 64
|
63 Β· 32 2016
|
651 Β· 16 10416
|
1395 Β· 8 11160
|
651 Β· 4 2604
|
63 Β· 2 126
|
1 Β· 1 1
|
26387
|
|
|
Oak is the summation of Maple. E.g. .
Maple is created by multiplying entries of Oak with powers of two.
For positive and : E.g.