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A293139
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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} Sum_{j=0..k} (-1)^j*x^(j*i)/j!.
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5
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1, 1, 0, 1, -1, 0, 1, -1, -2, 0, 1, -1, -1, 0, 0, 1, -1, -1, 0, 0, 0, 1, -1, -1, -1, 0, 120, 0, 1, -1, -1, -1, 0, 0, 0, 0, 1, -1, -1, -1, 1, 20, 180, 5040, 0, 1, -1, -1, -1, 1, 20, 180, 0, 0, 0, 1, -1, -1, -1, 1, 19, 150, 1260, 10080, 0, 0, 1, -1, -1, -1, 1, 19
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,9
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LINKS
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Seiichi Manyama, Antidiagonals n = 0..139, flattened
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, ...
0, -1, -1, -1, -1, ...
0, -2, -1, -1, -1, ...
0, 0, 0, -1, -1, ...
0, 0, 0, 0, 1, ...
0, 120, 0, 20, 20, ...
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CROSSREFS
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Columns k=0..2 give A000007, A293140, A293141.
Rows n=0 gives A000012.
Main diagonal gives A293116.
Cf. A293135.
Sequence in context: A095408 A133008 A102550 * A351319 A213725 A213726
Adjacent sequences: A293136 A293137 A293138 * A293140 A293141 A293142
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KEYWORD
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sign,tabl,look
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AUTHOR
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Seiichi Manyama, Oct 01 2017
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STATUS
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approved
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