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A293386
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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/(1 + Sum_{j=1..k} j*x^(j*i))^2.
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1
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1, 1, 0, 1, -2, 0, 1, -2, 1, 0, 1, -2, -3, -2, 0, 1, -2, -3, 10, 4, 0, 1, -2, -3, 4, -4, -4, 0, 1, -2, -3, 4, 14, -20, 5, 0, 1, -2, -3, 4, 6, -8, 41, -6, 0, 1, -2, -3, 4, 6, 16, -46, 2, 9, 0, 1, -2, -3, 4, 6, 6, -30, 14, -111, -12, 0, 1, -2, -3, 4, 6, 6, 0, -58
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OFFSET
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0,5
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LINKS
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, ...
0, -2, -2, -2, -2, ...
0, 1, -3, -3, -3, ...
0, -2, 10, 4, 4, ...
0, 4, -4, 14, 6, ...
0, -4, -20, -8, 16, ...
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CROSSREFS
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Product_{i>0} (1 + Sum_{j=1..k} j*x^(j*i))^m: this sequence (m=-2), A290217 (m=-1), A290216 (m=1), A293377 (m=2).
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KEYWORD
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AUTHOR
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STATUS
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approved
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