OFFSET
0,9
FORMULA
E.g.f. of column k: -log(1 - x)/(1 - x)^k.
EXAMPLE
E.g.f. of column k: A_k(x) = x/1! + (2*k + 1)*x^2/2! + (3*k^2 + 6*k + 2)*x^3/3! + 2*(2*k^3 + 9*k^2 + 11*k + 3)*x^4/4! + ...
Square array begins:
0, 0, 0, 0, 0, 0, ...
1, 1, 1, 1, 1, 1, ...
1, 3, 5, 7, 9, 11, ...
2, 11, 26, 47, 74, 107, ...
6, 50, 154, 342, 638, 1066, ...
24, 274, 1044, 2754, 5944, 11274, ...
MATHEMATICA
Table[Function[k, n! SeriesCoefficient[-Log[1 - x]/(1 - x)^k, {x, 0, n}]][j - n], {j, 0, 10}, {n, 0, j}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Ilya Gutkovskiy, Sep 21 2017
STATUS
approved