A334291 Array read by upward antidiagonals: T(n,k) (n >= 0, k > 0) = nim-division of n by k.
0, 1, 0, 2, 3, 0, 3, 1, 2, 0, 4, 2, 3, 15, 0, 5, 12, 1, 5, 12, 0, 6, 15, 8, 10, 4, 9, 0, 7, 13, 10, 1, 8, 14, 11, 0, 8, 14, 11, 14, 13, 7, 13, 10, 0, 9, 4, 9, 4, 1, 15, 6, 15, 6, 0, 10, 7, 12, 11, 9, 6, 7, 5, 11, 8, 0, 11, 5, 14, 2, 5, 1, 12, 3, 13, 12, 7
Offset: 0
Examples
The array begins:
n\k| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
---+------------------------------------------------------------
0| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1| 1 3 2 15 12 9 11 10 6 8 7 5 14 13 4 --> A051917(n)
2| 2 1 3 5 4 14 13 15 11 12 9 10 7 6 8
3| 3 2 1 10 8 7 6 5 13 4 14 15 9 11 12
4| 4 12 8 1 13 15 7 3 14 11 10 2 5 9 6
5| 5 15 10 14 1 6 12 9 8 3 13 7 11 4 2
6| 6 13 11 4 9 1 10 12 5 7 3 8 2 15 14
7| 7 14 9 11 5 8 1 6 3 15 4 13 12 2 10
8| 8 4 12 2 6 5 9 1 7 13 15 3 10 14 11
9| 9 7 14 13 10 12 2 11 1 5 8 6 4 3 15
10| 10 5 15 7 2 11 4 14 12 1 6 9 13 8 3
11| 11 6 13 8 14 2 15 4 10 9 1 12 3 5 7
12| 12 8 4 3 11 10 14 2 9 6 5 1 15 7 13
13| 13 11 6 12 7 3 5 8 15 14 2 4 1 10 9
14| 14 9 7 6 15 4 3 13 2 10 12 11 8 1 5
15| 15 10 5 9 3 13 8 7 4 2 11 14 6 12 1
| | | | |
| | | | A004474(n)
| | | A004477(n)
| | A004480(n)
| A006015(n)
A004468(n)
Comments