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A156864
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Triangle read by rows: t(n,k)=2^k - Binomial[n, k + 1] - ((2*k + 1 - n)/(k + 1))*Binomial[n, k].
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0
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0, -1, 1, -2, -2, 4, -3, -6, -2, 11, -4, -11, -12, 1, 26, -5, -17, -27, -19, 11, 57, -6, -24, -48, -54, -24, 36, 120, -7, -32, -76, -110, -94, -20, 92, 247, -8, -41, -112, -194, -220, -146, 8, 211, 502, -9, -51, -157, -314, -430, -398, -202, 91, 457, 1013, -10
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 2,4
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COMMENTS
| Row sums are zero.
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FORMULA
| t(n,k)=2^k - Binomial[n, k + 1] - ((2*k + 1 - n)/(k + 1))*Binomial[n, k].
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EXAMPLE
| {0},
{-1, 1},
{-2, -2, 4},
{-3, -6, -2, 11},
{-4, -11, -12, 1, 26},
{-5, -17, -27, -19, 11, 57},
{-6, -24, -48, -54, -24, 36, 120},
{-7, -32, -76, -110, -94, -20, 92, 247},
{-8, -41, -112, -194, -220, -146, 8, 211, 502},
{-9, -51, -157, -314, -430, -398, -202, 91, 457, 1013},
{-10, -62, -212, -479, -760, -860, -664, -239, 292, 958, 2036}
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MATHEMATICA
| t[n_, k_] =2^k - Binomial[n, k + 1] - ((2*k + 1 - n)/(k + 1))*Binomial[n, k];
Table[Table[t[n, k], {k, 1, n-1}], {n, 2, 12}];
Flatten[%]
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CROSSREFS
| Sequence in context: A058723 A189675 A076435 * A059975 A087656 A122811
Adjacent sequences: A156861 A156862 A156863 * A156865 A156866 A156867
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KEYWORD
| sign,tabl,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 17 2009
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