OFFSET
0,8
FORMULA
T(0,k) = 1 and T(n,k) = Sum_{i=1..n} (Sum_{j=1..k} j^i) * binomial(n-1,i-1) * T(n-i,k) for n > 0.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
0, 1, 3, 6, 10, 15, ...
0, 2, 14, 50, 130, 280, ...
0, 5, 81, 504, 2000, 6075, ...
0, 15, 551, 5870, 35054, 148429, ...
0, 52, 4266, 76872, 684000, 4004100, ...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Jul 01 2022
STATUS
approved