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A274883
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Triangle read by rows, T(n,k) = 2^k*binomial(n,k)*A057977(n-k) for n>=0 and 0<=k<=n.
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0
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1, 1, 2, 1, 4, 4, 3, 6, 12, 8, 2, 24, 24, 32, 16, 10, 20, 120, 80, 80, 32, 5, 120, 120, 480, 240, 192, 64, 35, 70, 840, 560, 1680, 672, 448, 128, 14, 560, 560, 4480, 2240, 5376, 1792, 1024, 256, 126, 252, 5040, 3360, 20160, 8064, 16128, 4608, 2304, 512
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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EXAMPLE
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Triangle starts:
1;
1, 2;
1, 4, 4;
3, 6, 12, 8;
2, 24, 24, 32, 16;
10, 20, 120, 80, 80, 32;
5, 120, 120, 480, 240, 192, 64;
35, 70, 840, 560, 1680, 672, 448, 128;
14, 560, 560, 4480, 2240, 5376, 1792, 1024, 256;
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MAPLE
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T := (n, k) -> 2^k*binomial(n, k)*((n-k)!/floor((n-k)/2)!^2)/(floor((n-k)/2)+1);
seq(seq(T(n, k), k=0..n), n=0..9);
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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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