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A106246
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Number triangle T(n,k)=C(n,k)C(2,n-k).
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3
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1, 2, 1, 1, 4, 1, 0, 3, 6, 1, 0, 0, 6, 8, 1, 0, 0, 0, 10, 10, 1, 0, 0, 0, 0, 15, 12, 1, 0, 0, 0, 0, 0, 21, 14, 1, 0, 0, 0, 0, 0, 0, 28, 16, 1, 0, 0, 0, 0, 0, 0, 0, 36, 18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 45, 20, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 24, 1, 0, 0, 0, 0, 0, 0
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins
1;
2,1;
1,4,1;
0,3,6,1;
0,0,6,8,1;
0,0,0,10,10,1;
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MATHEMATICA
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Flatten[Table[Binomial[n, k]Binomial[2, n-k], {n, 0, 20}, {k, 0, n}]] (* Harvey P. Dale, Jan 28 2016 *)
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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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