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A143200
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Triangle read by rows: t(n,m) is -1 if binomial(n, m) is greater than 1 and odd, otherwise t(n,m) = binomial(n, m) mod 2.
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1
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1, 1, 1, 1, 0, 1, 1, -1, -1, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Row sums are: {1, 2, 2, 0, 2, 0, 0, -4, 2, 0, 0} (see A142242).
Similar to A047999 but with internal 1's replaced by -1's.
Suggested by A142463.
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FORMULA
| t(n,m)=If[Mod[Binomial[n, m], 2] == 1 && Binomial[n, m] > 1, -1, Mod[ Binomial[n, m], 2]].
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EXAMPLE
| {1},
{1, 1},
{1, 0, 1},
{1, -1, -1, 1},
{1, 0, 0, 0, 1},
{1, -1,0, 0, -1, 1},
{1, 0, -1, 0, -1, 0, 1},
{1, -1, -1, -1, -1, -1, -1, 1},
{1, 0, 0, 0, 0, 0, 0, 0, 1},
{1, -1, 0, 0, 0, 0, 0, 0, -1, 1},
{1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1}
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MATHEMATICA
| t[n_, m_] := If[Mod[Binomial[n, m], 2] == 1 && Binomial[n, m] > 1, -1, Mod[ Binomial[n, m], 2]]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Cf. A047999, A142463, A142242.
Sequence in context: A077009 A078556 A144093 * A166282 A047999 A054431
Adjacent sequences: A143197 A143198 A143199 * A143201 A143202 A143203
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KEYWORD
| tabl,sign
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 20 2008
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EXTENSIONS
| Edited by N. J. A. Sloane, Aug 15 2009
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