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A055136
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Triangle: a(n,k) = A055135(n,k)/C(n,k).
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2
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1, 0, 1, -1, -1, 1, -2, 0, -2, 1, -3, 0, 3, -3, 1, -4, 0, -4, 8, -4, 1, -5, 0, 5, -20, 15, -5, 1, -6, 0, -6, 48, -54, 24, -6, 1, -7, 0, 7, -112, 189, -112, 35, -7, 1, -8, 0, -8, 256, -648, 512, -200, 48, -8, 1, -9, 0, 9, -576, 2187, -2304, 1125, -324, 63, -9, 1, -10, 0
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,7
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LINKS
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FORMULA
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n, k>1: a(n, k) = (-1)^(n+k)*(n-1)*(k-1)^(n-k-1).
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EXAMPLE
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1;
0,1;
-1,-1,1;
-2,0,-2,1;
-3,0,3,-3,1; ...
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MATHEMATICA
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a[n_, k_] := (-1)^(n+k)*(n-1)*(k-1)^(n-k-1); a[1, 1] = a[2, 1] = 1; Table[ a[n, k], {n, 0, 12}, {k, 0, n}] // Flatten (* Jean-François Alcover, Apr 14 2017 *)
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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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