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A174740
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Triangle read by rows, A027293 * an infinite lower triangular matrix with A147843 as the diagonal and the rest zeros.
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2
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1, 1, 2, 2, 2, 0, 3, 4, 0, 0, 5, 6, 0, 0, -5, 7, 10, 0, 0, -5, 0, 11, 14, 0, 0, -10, 0, -7, 15, 22, 0, 0, -15, 0, -7, 0, 22, 30, 0, 0, -25, 0, -14, 0, 0, 30, 44, 0, 0, -35, 0, -21, 0, 0, 0, 42, 60, 0, 0, -55, 0, -35, 0, 0, 0, 0, 56, 84, 0, 0, -75, 0, -49, 0, 0, 0, 0, 12
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OFFSET
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1,3
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COMMENTS
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Left border = the partition numbers, A000041; right border = A147843 starting (1, 2, 0, ...).
Row sums apparently give A000203. Check: Sum of row 6 terms = [7, 5, 3, 2, 1, 1] dot [1, 2, 0, 0, -5, 0] = [7 + 10 + 0 + 0 -5 + 0] = 12 = A000203(6).
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LINKS
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FORMULA
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Equals triangle A027293 * a lower triangular matrix with A147843 (deleting the first zero) as the right border and the rest zeros.
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EXAMPLE
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First few rows of the triangle:
1;
1, 2;
2, 2, 0;
3, 4, 0, 0;
5, 6, 0, 0, -5;
7, 10, 0, 0, -5, 0;
11, 14, 0, 0, -10, 0, -7;
15, 22, 0, 0, -15, 0, -7, 0;
22, 30, 0, 0, -25, 0, -14, 0, 0;
30, 44, 0, 0, -35, 0, -21, 0, 0, 0;
42, 60, 0, 0, -55, 0, -35, 0, 0, 0, 0;
56, 84, 6, 0, -75, 0, -49, 0, 0, 0, 0, 12;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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