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A293293
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} 1/(Sum_{j=0..k} (-1)^j*j!*x^(j*i)).
4
1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 3, 0, 1, 1, 0, -1, 5, 0, 1, 1, 0, 5, -1, 7, 0, 1, 1, 0, 5, 11, 3, 11, 0, 1, 1, 0, 5, -13, 3, 3, 15, 0, 1, 1, 0, 5, -13, -45, 15, -1, 22, 0, 1, 1, 0, 5, -13, 75, 15, 77, -8, 30, 0, 1, 1, 0, 5, -13, 75, 255, -91, 76, -8, 42, 0
OFFSET
0,9
LINKS
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
0, 1, 1, 1, 1, ...
0, 2, 0, 0, 0, ...
0, 3, -1, 5, 5, ...
0, 5, -1, 11, -13, ...
0, 7, 3, 3, -45, ...
CROSSREFS
Columns k=0..2 give A000007, A000041, A293294.
Rows n=0..1 give A000012, A057427.
Main diagonal gives A293259.
Sequence in context: A168561 A253190 A293307 * A228783 A230425 A230426
KEYWORD
sign,tabl,look
AUTHOR
Seiichi Manyama, Oct 05 2017
STATUS
approved