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1, 1, 3, 43, 5949, 12950796, 586826390263, 669793946192984257, 22558227235537152753501561, 25741074696455818592335996518315259, 1124843928218943684789052411802502269971863691, 2100464404490451025972467064515428575200326254804659324780
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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MAPLE
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b:= proc(n, k) option remember; `if`(n=0, 1,
add(k^j*binomial(n-1, j)*b(j, k), j=0..n-1))
end:
a:= n-> b(n$2):
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MATHEMATICA
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b[0, _] = 1;
b[n_, k_] := b[n, k] = Sum[k^j Binomial[n-1, j] b[j, k], {j, 0, n-1}];
a[n_] := b[n, n];
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PROG
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(Ruby)
def ncr(n, r)
return 1 if r == 0
(n - r + 1..n).inject(:*) / (1..r).inject(:*)
end
def A(k, n)
ary = [1]
(1..n).each{|i| ary << (0..i - 1).inject(0){|s, j| s + k ** j * ncr(i - 1, j) * ary[j]}}
ary
end
(0..n).map{|i| A(i, i)}
end
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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