OFFSET
0,4
COMMENTS
The nonnegative integers together with A form an abelian group; A354469 gives inverse elements.
Each row is a permutation of the nonnegative integers.
LINKS
Rémy Sigrist, Colored representation of the array A(n, k) for n, k < 2*3*5*7*11 (the hue is function of A(n, k), black pixels correspond to 0's)
FORMULA
EXAMPLE
Square array A(n, k) begins:
n\k| 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
---+----------------------------------------------------------------
0| 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1| 1 0 3 2 5 4 7 6 9 8 11 10 13 12 15 14
2| 2 3 4 5 0 1 8 9 10 11 6 7 14 15 16 17
3| 3 2 5 4 1 0 9 8 11 10 7 6 15 14 17 16
4| 4 5 0 1 2 3 10 11 6 7 8 9 16 17 12 13
5| 5 4 1 0 3 2 11 10 7 6 9 8 17 16 13 12
6| 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
7| 7 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20
8| 8 9 10 11 6 7 14 15 16 17 12 13 20 21 22 23
9| 9 8 11 10 7 6 15 14 17 16 13 12 21 20 23 22
10| 10 11 6 7 8 9 16 17 12 13 14 15 22 23 18 19
11| 11 10 7 6 9 8 17 16 13 12 15 14 23 22 19 18
12| 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
13| 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26
14| 14 15 16 17 12 13 20 21 22 23 18 19 26 27 28 29
15| 15 14 17 16 13 12 21 20 23 22 19 18 27 26 29 28
PROG
(PARI) A(n, k, s=i->prime(i)) = { my (v=0, f=1, r); for (i=1, oo, if (n==0 && k==0, return (v), r=s(i); v+=f*((n+k)%r); f*=r; n\=r; k\=r)) }
CROSSREFS
KEYWORD
AUTHOR
Rémy Sigrist, Jun 02 2022
STATUS
approved