OFFSET
0,6
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f. of column k: exp(-k*x) / (1 + LambertW(-x)).
G.f. of column k: Sum_{j>=0} (j*x)^j / (1 + k*x)^(j+1).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 0, -1, -2, -3, -4, ...
4, 3, 4, 7, 12, 19, ...
27, 17, 7, -9, -37, -83, ...
256, 169, 120, 121, 208, 441, ...
3125, 2079, 1373, 797, 21, -1525, ...
PROG
(PARI) T(n, k) = sum(j=0, n, (-k)^(n-j)*j^j*binomial(n, j));
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, May 05 2023
STATUS
approved