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A334561
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Square array A(n,k), n >= 0, k >= 1, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(-Sum_{j=1..k} x^j).
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5
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1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 5, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 25, -41, 1, 1, -1, -1, -1, 1, 19, 31, -1, 1, -1, -1, -1, 1, 139, -209, 461, 1, 1, -1, -1, -1, 1, 19, 151, -2269, -895, -1, 1, -1, -1, -1, 1, 19, 871, -1429, 2801, -6481, 1, 1, -1, -1, -1, 1, 19, 151, 1091, -19039, 68615, 22591, -1
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OFFSET
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0,14
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LINKS
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FORMULA
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A(0,k) = 1 and A(n,k) = - (n-1)! * Sum_{j=1..min(k,n)} j*A(n-j,k)/(n-j)!.
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, 1, 1, ...
-1, -1, -1, -1, -1, -1, -1, ...
1, -1, -1, -1, -1, -1, -1, ...
-1, 5, -1, -1, -1, -1, -1, ...
1, 1, 25, 1, 1, 1, 1, ...
-1, -41, 19, 139, 19, 19, 19, ...
1, 31, -209, 151, 871, 151, 151, ...
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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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