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A144220
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Triangle read by rows, A118433 (the self-inverse triangle) * A000012^(-1).
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0
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1, 2, -1, -3, 1, 1, -4, 0, 4, -1, 5, 2, -10, 3, 1, 6, 5, -20, 5, 6, -1, -7, -9, 35, 5, -21, 5, 1, -8, -14, 56, 0, -56, 14, 8, -1, 9, 20, -84, -14, 126, -28, -36, 7, 1, 10, 27, -120, -42, 252, -42, -120, 27, 10, -1, -11, -35, 165, 90, -462, 42, 330, -75, -55, 9, 1
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OFFSET
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0,2
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COMMENTS
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Row sums = (1, 1, -1, -1, 1, 1, ...).
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LINKS
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FORMULA
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A118433 * A000012^(-1), where A000012^(-1) is an infinite lower triangular matrix with 1's in the main diagonal and (-1)'s in the subdiagonal, with the rest zeros.
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EXAMPLE
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First few rows of the triangle:
1;
2, -1;
3, 1, 1;
-4, 0, 4, -1
5, 2, -10, 3, 1;
6, 5, -20, 5, 6, -1;
-7, -9, 35, -5, -21, 5, 1;
-8, -14, 56, 0, -56, 14, 8, -1;
9, 20, -84, -14, 126, -28, -36, 7, 1;
10, 27, -120, -42, 252, -42, -120, 27, 10, -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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