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A110517
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Riordan array (1,x(1-3x)).
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6
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1, 0, 1, 0, -3, 1, 0, 0, -6, 1, 0, 0, 9, -9, 1, 0, 0, 0, 27, -12, 1, 0, 0, 0, -27, 54, -15, 1, 0, 0, 0, 0, -108, 90, -18, 1, 0, 0, 0, 0, 81, -270, 135, -21, 1, 0, 0, 0, 0, 0, 405, -540, 189, -24, 1, 0, 0, 0, 0, 0, -243, 1215, -945, 252, -27, 1, 0, 0, 0, 0, 0, 0, -1458, 2835, -1512, 324, -30, 1, 0, 0, 0, 0, 0, 0, 729, -5103, 5670, -2268, 405
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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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FORMULA
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Number triangle: T(n, k) = (-3)^(n-k)*binomial(k, n-k).
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EXAMPLE
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Rows begin
1;
0, 1;
0, -3, 1;
0, 0, -6, 1;
0, 0, 9, -9, 1;
0, 0, 0, 27, -12, 1;
0, 0, 0, -27, 54, -15, 1;
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MATHEMATICA
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T[n_, k_] := (-3)^(n - k)*Binomial[k, n - k]; Table[T[n, k], {n, 0, 20}, {k, 0, n}] // Flatten (* G. C. Greubel, Aug 29 2017 *)
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PROG
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(PARI) for(n=0, 20, for(k=0, n, print1((-3)^(n-k)*binomial(k, n-k), ", "))) \\ G. C. Greubel, Aug 29 2017
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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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