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A155031
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Triangle T(n, k) = 0 if n==0 (mod k) otherwise -1 with T(n, n) = 1 and T(n, 0) = 0, read by rows.
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3
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1, 0, 1, 0, -1, 1, 0, 0, -1, 1, 0, -1, -1, -1, 1, 0, 0, 0, -1, -1, 1, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, 0, -1, -1, -1, 1, 0, -1, 0, -1, -1, -1, -1, -1, 1, 0, 0, -1, -1, 0, -1, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 0, 0, 0, 0, -1, 0, -1, -1, -1, -1, -1, 1, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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G. C. Greubel, Rows n = 1..30 of the triangle, flattened
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FORMULA
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T(n, k) = A154990(n, k) * A155029(n, k).
T(n, k) = 0 if n==0 (mod k) otherwise -1 with T(n, n) = 1 and T(n, 0) = 0.
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EXAMPLE
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Table begins:
1;
0, 1;
0, -1, 1;
0, 0, -1, 1;
0, -1, -1, -1, 1;
0, 0, 0, -1, -1, 1;
0, -1, -1, -1, -1, -1, 1;
0, 0, -1, 0, -1, -1, -1, 1;
0, -1, 0, -1, -1, -1, -1, -1, 1;
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MATHEMATICA
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T[n_, k_]:= If[k==n, 1, If[k==1 || Mod[n, k]==0, 0, -1]];
Table[T[n, k], {n, 12}, {k, n}] //Flatten (* G. C. Greubel, Mar 08 2021 *)
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PROG
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(Sage) flatten([[1 if k==n else 0 if (k==1 or n%k==0) else -1 for k in [1..n]] for n in [1..12]]) # G. C. Greubel, Mar 08 2021
(Magma) [k eq n select 1 else (k eq 1 or n mod k eq 0) select 0 else -1: k in [1..n], n in [1..12]]; // G. C. Greubel, Mar 08 2021
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CROSSREFS
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Cf. A154990, A155029.
Sequence in context: A187034 A101688 A155029 * A134540 A318962 A128430
Adjacent sequences: A155028 A155029 A155030 * A155032 A155033 A155034
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KEYWORD
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sign,tabl
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AUTHOR
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Mats Granvik, Jan 19 2009
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STATUS
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approved
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