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A291969
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Triangle read by rows: T(n,k) = k * (T(n-k,k-1) + T(n-k,k)) with T(0,0) = 1 for 0 <= k <= A003056(n).
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2
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1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 6, 0, 1, 6, 6, 0, 1, 14, 6, 0, 1, 14, 18, 0, 1, 30, 36, 0, 1, 30, 60, 24, 0, 1, 62, 96, 24, 0, 1, 62, 198, 72, 0, 1, 126, 270, 144, 0, 1, 126, 474, 336, 0, 1, 254, 780, 480, 120, 0, 1, 254, 1188, 1080, 120, 0, 1, 510, 1800
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OFFSET
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0,8
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LINKS
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FORMULA
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G.f. of column k: k! * x^(k*(k+1)/2) / Product_{j=1..k} (1-j*x^j).
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EXAMPLE
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First few rows are:
1;
0, 1;
0, 1;
0, 1, 2;
0, 1, 2;
0, 1, 6;
0, 1, 6, 6;
0, 1, 14, 6;
0, 1, 14, 18;
0, 1, 30, 36;
0, 1, 30, 60, 24.
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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