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A164381
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A division tristate triangle : t(n,k)=If[Mod[n, k]/k >= 0 && Mod[n, k]/k <= 2/9, 1, If[Mod[n, k]/k > 2/9 && Mod[n, k]/k <= 4/9, -1, 0]]
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0
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1, 1, 1, 1, 0, 1, 1, 1, -1, 1, 1, 0, 0, -1, 1, 1, 1, 1, 0, 1, 1, 1, 0, -1, 0, -1, 1, 1, 1, 1, 0, 1, 0, -1, 1, 1, 1, 0, 1, -1, 0, 0, -1, 1, 1, 1, 1, -1, 0, 1, 0, -1, -1, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The idea is to give a quadratic type tristate effect to the divide triangle of A051731.
The Row Sums are:
{1, 2, 2, 2, 1, 5, 1, 4, 2, 2, 4, 6, 1, 3, 5, 4, 1, 6, 3, 6,...}.
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FORMULA
| t(n,k)=If[Mod[n, k]/k >= 0 && Mod[n, k]/k <= 2/9, 1, If[Mod[n, k]/k > 2/9 && Mod[n, k]/k <= 4/9, -1, 0]]
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EXAMPLE
| {1},
{1, 1},
{1, 0, 1},
{1, 1, -1, 1},
{1, 0, 0, -1, 1},
{1, 1, 1, 0, 1, 1},
{1, 0, -1, 0, -1, 1, 1},
{1, 1, 0, 1, 0, -1, 1, 1},
{1, 0, 1, -1, 0, 0, -1,1, 1},
{1, 1, -1, 0, 1, 0, -1, -1, 1, 1}
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MATHEMATICA
| T[n_, k_] = If[Mod[n, k]/k >= 0 && Mod[n, k]/k <= 2/9, 1, If[Mod[n, k]/k > 2/9 && Mod[n, k]/k <= 4/9, -1, 0]];
Table[Table[T[n, k], {k, 1, n}], {n, 1, 10}];
Flatten[%]
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CROSSREFS
| A051731
Sequence in context: A166282 A047999 A054431 * A106470 A106465 A071027
Adjacent sequences: A164378 A164379 A164380 * A164382 A164383 A164384
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KEYWORD
| sign,uned
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AUTHOR
| Roger L. Bagula and Mats Granvik (rlbagulatftn(AT)yahoo.com), Aug 14 2009
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