OFFSET
1,2
LINKS
FORMULA
T(n, k) = T(k, n) <= k*n.
T(n, n) = 1.
T(n, 1) = n.
T(n, n^2) = n.
T(n, n^3) = n^2.
T(n, n^k) = n^(k-1) for any k > 0.
T(n, n+1) = A123684(n+1) for any n > 2.
EXAMPLE
Array T(n, k) begins:
n\k| 1 2 3 4 5 6 7 8 9 10
---+---------------------------------------
1| 1 2 3 4 5 6 7 8 9 10
2| 2 1 5 2 3 3 11 4 5 5
3| 3 5 1 2 2 2 17 11 3 7
4| 4 2 2 1 7 5 13 2 3 3
5| 5 3 2 7 1 3 3 28 13 2
6| 6 3 2 5 3 1 10 2 5 2
7| 7 11 17 13 3 10 1 4 4 25
8| 8 4 11 2 28 2 4 1 13 7
9| 9 5 3 3 13 5 4 13 1 5
10| 10 5 7 3 2 2 25 7 5 1
PROG
(PARI) T(n, k) = for (m=1, oo, if ((m*n)%k==(m*k)%n, return (m)))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Rémy Sigrist, Oct 01 2020
STATUS
approved