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A294699
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Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-j^(k*j)*x^j)^j(k*j) in powers of x.
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3
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1, 1, -1, 1, -1, -1, 1, -1, -16, 0, 1, -1, -256, -713, 0, 1, -1, -4096, -531185, -64711, 1, 1, -1, -65536, -387416393, -4294405135, -9688521, 0, 1, -1, -1048576, -282429470945, -281474581032631, -95363000655153, -2165724176, 1, 1
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OFFSET
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0,9
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LINKS
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FORMULA
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A(0,k) = 1 and A(n,k) = -(1/n) * Sum_{j=1..n} (Sum_{d|j} d^(1+k*(d+j))) * A(n-j,k) for n > 0.
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EXAMPLE
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Square array begins:
1, 1, 1, 1, ...
-1, -1, -1, -1, ...
-1, -16, -256, -4096, ...
0, -713, -531185, -387416393, ...
0, -64711, -4294405135, -281474581032631, ...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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