OFFSET
0,6
FORMULA
T(n,k) = Sum_{j=0..n} Stirling2(n,j) * T(j,k-1), k>1, T(n,0) = n!.
T(n,k) = A153278(k,n) for n >= 1 and k >= 1.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 1, ...
2, 3, 4, 5, 6, 7, ...
6, 13, 23, 36, 52, 71, ...
24, 75, 175, 342, 594, 949, ...
120, 541, 1662, 4048, 8444, 15775, ...
PROG
(PARI) T(n, k) = if(k==0, n!, sum(j=0, n, stirling(n, j, 2)*T(j, k-1)));
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, May 12 2023
STATUS
approved