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A178046
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Triangle t(n, m) = 2*binomial(n,m)^2 -A008292(n+1,m+1)^2 read by rows.
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0
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1, 1, 1, 1, -8, 1, 1, -103, -103, 1, 1, -644, -4284, -644, 1, 1, -3199, -91004, -91004, -3199, 1, 1, -14328, -1418031, -5836256, -1418031, -14328, 1, 1, -60911, -18428967, -243950711, -243950711, -18428967, -60911, 1, 1, -251876
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history;
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OFFSET
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0,5
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COMMENTS
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LINKS
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EXAMPLE
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1;
1, 1;
1, -8, 1;
1, -103, -103, 1;
1, -644, -4284, -644, 1;
1, -3199, -91004, -91004, -3199, 1;
1, -14328, -1418031, -5836256, -1418031, -14328, 1;
1, -60911, -18428967, -243950711, -243950711, -18428967, -60911, 1;
1, -251876, -213392096, -7785232484, -24395306300, -7785232484, -213392096, -251876, 1;
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MATHEMATICA
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<< DiscreteMath`Combinatorica`
t[n_, m_] = 2*Binomial[n, m]^2 - Eulerian[n + 1, m]^2;
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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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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