OFFSET
0,8
LINKS
Seiichi Manyama, Antidiagonals n = 0..139, flattened
FORMULA
A(0,k) = 1 and A(n,k) = k^2 * (n-1)! * Sum_{j=1..min(k,n)} binomial(k-1,j-1)*A(n-j,k)/(n-j)! for n > 0.
EXAMPLE
Square array A(n,k) begins:
1, 1, 1, 1, 1, ...
0, 1, 4, 9, 16, ...
0, 1, 20, 99, 304, ...
0, 1, 112, 1233, 6496, ...
0, 1, 688, 16929, 152416, ...
0, 1, 4544, 251829, 3867136, ...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Oct 23 2017
STATUS
approved