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A317552
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Irregular triangle where T(n,k) is the sum of coefficients in the expansion of p(y) in terms of Schur functions, where p is power-sum symmetric functions and y is the integer partition with Heinz number A215366(n,k).
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14
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1, 0, 2, 1, 0, 4, 0, 2, 1, 0, 10, 1, 0, 0, 2, 2, 0, 26, 0, 0, 1, 4, 0, 0, 0, 4, 4, 0, 76, 1, 0, 0, 0, 0, 2, 2, 4, 0, 0, 0, 8, 10, 0, 232, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 12, 0, 4, 2, 8, 0, 0, 0, 20, 26, 0, 764, 1, 0, 0, 0, 2, 0, 0, 4, 2, 0, 0, 1, 10, 0, 0, 0, 0
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OFFSET
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1,3
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COMMENTS
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Is this sequence nonnegative? If so, is there a combinatorial interpretation?
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LINKS
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EXAMPLE
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Triangle begins:
1
0 2
1 0 4
0 2 1 0 10
1 0 0 2 2 0 26
0 0 1 4 0 0 0 4 4 0 76
1 0 0 0 0 2 2 4 0 0 0 8 10 0 232
A215366(6,4) = 25 corresponds to the partition (33). Since p(33) = s(6) + 2 s(33) - s(51) + 2 s(222) - 2 s(321) + s(411) + s(3111) - s(21111) + s(111111) has sum of coefficients 1 + 2 - 1 + 2 - 2 + 1 + 1 - 1 + 1 = 4, we conclude T(6,4) = 4.
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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