OFFSET
0,4
FORMULA
E.g.f. of k-th column: LambertW(-x)^k/(x^k*(1 + LambertW(-x))).
EXAMPLE
The array begins:
1, 1, 1, 1, 1, 1, ...
1, 2, 3, 4, 5, 6, ...
4, 9, 16, 25, 36, 49, ...
27, 64, 125, 216, 343, 512, ...
256, 625, 1296, 2401, 4096, 6561, ...
3125, 7776, 16807, 32768, 59049, 100000, ...
...
MATHEMATICA
A[n_, k_]:=(n+k)^n; Join[{1}, Table[A[n-k, k], {n, 9}, {k, 0, n}]]//Flatten
CROSSREFS
Cf. A000012 (n=0), A000169, A000272, A000312 (k=0), A007830 (k=3), A008785 (k=4), A008786 (k=5), A008787 (k=6), A031973 (antidiagonal sums), A052746 (2nd superdiagonal), A052750, A062971 (main diagonal), A079901 (read by descending antidiagonals), A085527 (1st superdiagonal), A085528 (1st subdiagonal), A085532, A099753.
KEYWORD
AUTHOR
Stefano Spezia, Aug 11 2023
STATUS
approved