A293301 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. Product_{i>0} 1/(Sum_{j=0..k} (-1)^j*x^(j*i)/j!).

1, 1, 0, 1, 1, 0, 1, 1, 4, 0, 1, 1, 3, 18, 0, 1, 1, 3, 12, 120, 0, 1, 1, 3, 13, 66, 840, 0, 1, 1, 3, 13, 74, 450, 7920, 0, 1, 1, 3, 13, 73, 510, 3510, 75600, 0, 1, 1, 3, 13, 73, 500, 4130, 32760, 887040, 0, 1, 1, 3, 13, 73, 501, 4040, 38430, 335160, 10886400, 0, 1, 1, 3

Offset

0,9

Links

Seiichi Manyama, Antidiagonals n = 0..139, flattened

Example

Square array begins:
   1,   1,   1,   1,   1, ...
   0,   1,   1,   1,   1, ...
   0,   4,   3,   3,   3, ...
   0,  18,  12,  13,  13, ...
   0, 120,  66,  74,  73, ...
   0, 840, 450, 510, 500, ...

Crossrefs

Columns k=0..2 give A000007, A053529, A293302.

Rows n=0 gives A000012.

Main diagonal gives A000262.

Cf. A293135, A293139, A293299.

Sequence in context: A250204 A096459 A378833 * A218453 A324563 A186372

Adjacent sequences: A293298 A293299 A293300 * A293302 A293303 A293304

Keyword

nonn,tabl,look

Author

Seiichi Manyama, Oct 05 2017

Status

approved