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A293785
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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. exp(Sum_{j>=1} j^(k-1)*x^j).
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2
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1, 1, 1, 1, 1, 2, 1, 1, 3, 6, 1, 1, 5, 13, 24, 1, 1, 9, 31, 73, 120, 1, 1, 17, 79, 241, 501, 720, 1, 1, 33, 211, 841, 2261, 4051, 5040, 1, 1, 65, 583, 3049, 10821, 24781, 37633, 40320, 1, 1, 129, 1651, 11353, 54221, 162601, 309835, 394353, 362880, 1, 1, 257
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OFFSET
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0,6
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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..n} j^k*A(n-j,k)/(n-j)! for n > 0.
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, ...
2, 3, 5, 9, 17, ...
6, 13, 31, 79, 211, ...
24, 73, 241, 841, 3049, ...
120, 501, 2261, 10821, 54221, ...
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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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