OFFSET
0,4
COMMENTS
LINKS
Peter Luschny, Die schwingende Fakultät und Orbitalsysteme, August 2011.
FORMULA
T(n, k) divides T(n, 0) for 0 <= k <= n.
Product_{k=0..n} T(n, k) is a square.
EXAMPLE
[0] 1;
[1] 1, 1;
[2] 2, 1, 2;
[3] 6, 2, 2, 6;
[4] 24, 6, 4, 6, 6;
[5] 120, 24, 12, 12, 6, 30;
[6] 720, 120, 48, 36, 12, 30, 20;
[7] 5040, 720, 240, 144, 36, 60, 20, 140;
[8] 40320, 5040, 1440, 720, 144, 180, 40, 140, 70;
[9] 362880, 40320, 10080, 4320, 720, 720, 120, 280, 70, 630;
MAPLE
T := (n, k) -> (n - k)!*k! / iquo(k, 2)! ^ 2:
seq(seq(T(n, k), k = 0..n), n = 0..9);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Nov 13 2021
STATUS
approved