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A117941
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Inverse of number triangle A117939.
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3
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1, -2, 1, -5, 2, 1, -2, 0, 0, 1, 4, -2, 0, -2, 1, 10, -4, -2, -5, 2, 1, -5, 0, 0, 2, 0, 0, 1, 10, -5, 0, -4, 2, 0, -2, 1, 25, -10, -5, -10, 4, 2, -5, 2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 1, 10, -4, -2, 0, 0, 0, 0, 0, 0, -5, 2, 1, 4, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 1, -8, 4, 0, 4, -2, 0, 0, 0, 0, 4, -2, 0, -2, 1
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text;
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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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EXAMPLE
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Triangle begins
1;
-2, 1;
-5, 2, 1;
-2, 0, 0, 1;
4, -2, 0, -2, 1;
10, -4, -2, -5, 2, 1;
-5, 0, 0, 2, 0, 0, 1;
10, -5, 0, -4, 2, 0, -2, 1;
25, -10, -5, -10, 4, 2, -5, 2, 1;
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MATHEMATICA
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M[n_, k_]:= M[n, k]= If[k>n, 0, Sum[JacobiSymbol[Binomial[n, j], 3]*JacobiSymbol[Binomial[n-j, k], 3], {j, 0, n}], 0];
m:= m= With[{q = 60}, Table[M[n, k], {n, 0, q}, {k, 0, q}]];
T[n_, k_]:= Inverse[m][[n+1, k+1]];
Table[T[n, k], {n, 0, 15}, {k, 0, n}]//Flatten (* G. C. Greubel, Oct 29 2021 *)
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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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