A308460 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. log(Sum_{j>=0} k^binomial(j,2) * x^j/j!).

1, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 20, 38, 0, 1, 4, 54, 624, 728, 0, 1, 5, 112, 3834, 55248, 26704, 0, 1, 6, 200, 15104, 1027080, 13982208, 1866256, 0, 1, 7, 324, 45750, 9684224, 1067308488, 10358360640, 251548592, 0, 1, 8, 490, 116208, 60225000, 30458183680, 4390480193904, 22792648882176, 66296291072, 0

Offset: 1

Author

Seiichi Manyama, May 28 2019

Keywords

• nonn
• tabl

Examples

			Square array begins:
   1,     1,        1,          1,           1, ...
   0,     1,        2,          3,           4, ...
   0,     4,       20,         54,         112, ...
   0,    38,      624,       3834,       15104, ...
   0,   728,    55248,    1027080,     9684224, ...
   0, 26704, 13982208, 1067308488, 30458183680, ...
		

Links

• Seiichi Manyama, Antidiagonals n = 1..50, flattened

Crossrefs

Columns k=1..4 give A000007(n-1), A001187, A054941, A003027.