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A109978
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Inverse binomial transform of number-theoretic triangle A109974.
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1
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1, 1, 1, -1, 1, 1, 2, -2, 2, 1, -5, 5, -4, 5, 1, 13, -14, 11, -7, 12, 1, -33, 40, -35, 20, -5, 27, 1, 80, -111, 113, -77, 21, 34, 58, 1, -184, 293, -350, 294, -144, -27, 238, 121, 1, 402, -731, 1021, -1042, 716, -249, -153, 1063, 248, 1, -840, 1726, -2796, 3409, -2982, 1755, -724, 318, 4037, 503, 1
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OFFSET
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1,7
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COMMENTS
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First column is expansion of bracket function A001659.
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LINKS
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FORMULA
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T(n, k)=sum{j=1..n, (-1)^(n-j)C(n-1, j-1)*if(k<=j, sigma(k-1, j-k+1), 0)} [offset (1, 1)]
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EXAMPLE
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Rows begin
1;
1,1;
-1,1,1;
2,-2,2,1;
-5,5,-4,5,1;
13,-14,11,-7,12,1;
-33,40,-35,20,-5,27,1;
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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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