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A054524
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Triangle T(n,k): T(n,k) = mu(k) if k divides n, T(n,k)=0 otherwise (n >= 1, 1<=k<=n).
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12
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1, 1, -1, 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, -1, 1, -1, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1
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OFFSET
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1,1
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LINKS
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FORMULA
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MATHEMATICA
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Clear[t]; t[n_, 1] = 1; t[n_, k_] := t[n, k] = If[k == 1, 1, If[n == k, -Sum[t[n, k - i], {i, 1, k - 1}], If[n > k, t[n - k, k], 0]]]; Flatten[Table[t[n, k], {n, 13}, {k, n}]] (* Mats Granvik, Feb 12 2012 *)
Table[If[Mod[n, k]==0, MoebiusMu[k], 0], {n, 20}, {k, n}]//Flatten (* Harvey P. Dale, Mar 29 2023 *)
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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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