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A293718
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Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. exp(Sum_{j=1..k} j*x^j).
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5
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1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 13, 1, 1, 1, 5, 31, 73, 1, 1, 1, 5, 31, 145, 281, 1, 1, 1, 5, 31, 241, 1181, 1741, 1, 1, 1, 5, 31, 241, 1661, 9661, 8485, 1, 1, 1, 5, 31, 241, 2261, 16861, 77155, 57233, 1, 1, 1, 5, 31, 241, 2261, 20461, 181315, 794081
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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) = (n-1)! * Sum_{j=1..min(k,n)} j^2*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, 5, 5, 5, 5, ...
1, 13, 31, 31, 31, ...
1, 73, 145, 241, 241, ...
1, 281, 1181, 1661, 2261, ...
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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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