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A293299
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} x^(j*i)/j!).
3
1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -1, -6, 0, 1, -1, -1, 0, 24, 0, 1, -1, -1, -1, -6, -120, 0, 1, -1, -1, -1, 2, 30, 720, 0, 1, -1, -1, -1, 1, 10, 270, -5040, 0, 1, -1, -1, -1, 1, 20, 170, 0, 80640, 0, 1, -1, -1, -1, 1, 19, 140, 1050, 2520, -725760, 0, 1, -1
OFFSET
0,14
LINKS
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
0, -1, -1, -1, -1, ...
0, 0, -1, -1, -1, ...
0, -6, 0, -1, -1, ...
0, 24, -6, 2, 1, ...
0, -120, 30, 10, 20, ...
CROSSREFS
Columns k=0..1 give A000007, A293300.
Rows n=0 gives A000012.
Main diagonal gives A293116.
Sequence in context: A076413 A154305 A158781 * A293486 A195398 A063085
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, Oct 05 2017
STATUS
approved