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A143333
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Pascals triangle binomial(n,m) read by rows, all even elements replaced by zero.
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3
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1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 0, 0, 1, 1, 5, 0, 0, 5, 1, 1, 0, 15, 0, 15, 0, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 9, 0, 0, 0, 0, 0, 0, 9, 1, 1, 0, 45, 0, 0, 0, 0, 0, 45, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Row sums are A088560.
A047999(n,k) = A057427(T(n,k)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 24 2010]
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FORMULA
| T(n,m) = A047999(n,m)*A007318(n,m).
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EXAMPLE
| The triangle starts in row n=0 with columns 0<=m<=n as:
1;
1, 1;
1, 0, 1;
1, 3, 3, 1;
1, 0, 0, 0, 1;
1, 5, 0, 0, 5, 1;
1, 0, 15, 0, 15, 0, 1;
1, 7, 21, 35, 35, 21, 7, 1;
1, 0, 0, 0, 0, 0, 0, 0, 1;
1, 9, 0, 0, 0, 0, 0, 0, 9, 1;
1, 0, 45, 0, 0, 0, 0, 0, 45, 0, 1;
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MATHEMATICA
| t[n_, m_] = Mod[Binomial[n, m], 2]*Binomial[n, m]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Cf. A007318, A014421, A047999, A088560. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 24 2010]
Sequence in context: A122850 A132062 A065547 * A065551 A059441 A186028
Adjacent sequences: A143330 A143331 A143332 * A143334 A143335 A143336
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 21 2008
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EXTENSIONS
| Offset set to 0 by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 21 2010
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