OFFSET
0,5
COMMENTS
EXAMPLE
[0] 1;
[1] 1, 1;
[2] 1, 4, 4;
[3] 1, 10, 34, 34;
[4] 1, 20, 154, 496, 496;
[5] 1, 35, 504, 3520, 11056, 11056;
[6] 1, 56, 1344, 16960, 112816, 349504, 349504;
[7] 1, 84, 3108, 63580, 748616, 4841200, 14873104, 14873104;
MAPLE
T := proc(n, k) option remember; if k = 0 then 1 else if k = n then T(n, k - 1) else ((n - k + 1)*(n - k + 2)/2) * T( n, k - 1) + T( n - 1, k) fi fi end:
seq(print(seq(T(n, k), k = 0..n)), n = 0..8);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Sep 30 2023
STATUS
approved