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A243163
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Triangle read by rows: T(n,k) = binomial(k,n-k)*binomial(n+2*k,n+k) /(n+k+1), n>=0, 0<=k<=n.
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0
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1, 0, 1, 0, 1, 3, 0, 0, 7, 12, 0, 0, 4, 45, 55, 0, 0, 0, 55, 286, 273, 0, 0, 0, 22, 546, 1820, 1428, 0, 0, 0, 0, 455, 4760, 11628, 7752, 0, 0, 0, 0, 140, 6120, 38760, 74613, 43263, 0, 0, 0, 0, 0, 3876, 67830, 302841, 480700, 246675, 0, 0, 0, 0, 0, 969, 65835
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,6
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LINKS
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FORMULA
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EXAMPLE
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1;
0, 1;
0, 1, 3;
0, 0, 7, 12;
0, 0, 4, 45, 55;
0, 0, 0, 55, 286, 273;
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MAPLE
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T := (n, k) -> binomial(k, n-k)*binomial(n+2*k, n+k)/(n+k+1);
seq(print(seq(T(n, k), k=0..n)), n=0..10);
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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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