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A124749
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Expansion of (1+x*y+x^2*y^2)/(1-x^3*y^3+x^4*y^3).
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3
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1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 1
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graph;
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listen;
history;
text;
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OFFSET
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0,35
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COMMENTS
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LINKS
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FORMULA
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Number triangle T(n,k)=C(floor(k/3),n-k)*(-1)^(n-k)
G.f. of column k is x^k*(1-x)^floor(k/3); - Paul Barry, Dec 14 2006
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EXAMPLE
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Triangle begins
1,
0, 1,
0, 0, 1,
0, 0, 0, 1,
0, 0, 0, -1, 1,
0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, -2, 1,
0, 0, 0, 0, 0, 0, 1, -2, 1,
0, 0, 0, 0, 0, 0, 0, 1, -2, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 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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