OFFSET
0,6
LINKS
G. C. Greubel, Table of n, a(n) for the first 50 antidiagonals, flattened
FORMULA
E.g.f. of column k: -exp(k*x)*LambertW(-x).
EXAMPLE
E.g.f. of column k: A_k(x) = x/1! + 2*(k + 1)*x^2/2! + 3*(k^2 + 2*k + 3)*x^3/3! + 4*(k^3 + 3*k^2 + 9*k + 16)*x^4/4! + ...
Square array begins:
0, 0, 0, 0, 0, 0, ...
1, 1, 1, 1, 1, 1, ...
2, 4, 6, 8, 10, 12, ...
9, 18, 33, 54, 81, 114, ...
64, 116, 216, 388, 656, 1044, ...
625, 1060, 1895, 3340, 5905, 10100, ...
MATHEMATICA
Table[Function[k, n! SeriesCoefficient[-Exp[k x] LambertW[-x], {x, 0, n}]][j - n], {j, 0, 10}, {n, 0, j}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Ilya Gutkovskiy, Oct 30 2017
STATUS
approved