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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!).
3
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
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.
Sequence in context: A298248 A250204 A096459 * A218453 A324563 A186372
KEYWORD
nonn,tabl,look
AUTHOR
Seiichi Manyama, Oct 05 2017
STATUS
approved