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A329473
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Triangle T read by rows derived from the signed Pascal triangle and satisfying T = T^(-1).
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0
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-1, 1, 1, 1, 0, 1, 1, -1, 3, -1, 1, -2, 6, -4, 1, 1, -3, 10, -10, 5, -1, 1, -4, 15, -20, 15, -6, 1, 1, -5, 21, -35, 35, -21, 7, -1, 1, -6, 28, -56, 70, -56, 28, -8, 1, 1, -7, 36, -84, 126, -126, 84, -36, 9, -1
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OFFSET
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0,9
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LINKS
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FORMULA
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In the signed version of Pascal's triangle, add 2 to each term in the next to left column. The first row in Pascal's triangle is replaced by -1.
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EXAMPLE
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(1, -3, 3, -1) becomes (1, -1, 3, -1) by adding 2 to -3.
First few rows of the triangle are:
-1;
1, 1;
1, 0, 1;
1, -1, 3, -1;
1, -2, 6, -4, 1;
1, -3, 10, -10, 5, -1;
1, -4, 15, -20, 15, -6, 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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