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A119865
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Triangle T(n,k), 0<=k<=n, read by rows, given by [1, 1, 0, 1, 0, 0, 0, 0, 0, ...] DELTA [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938.
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0
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1, 1, 1, 2, 3, 1, 4, 9, 6, 1, 8, 25, 26, 10, 1, 16, 65, 95, 60, 15, 1, 32, 161, 308, 279, 120, 21, 1, 64, 385, 917, 1099, 693, 217, 28, 1, 128, 897, 2566, 3856, 3256, 1526, 364, 36, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| Sum_{k =0..n}T(n,k)= A087944(n) . Sum_{k=0..n}(-1)^k*2^(n-k)*T(n,k)= n^2-n+1= A002061(n) . Sum_{k=0..n}(-1)^k*T(n,k)=0^n= A000007(n).
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EXAMPLE
| Triangle begins:
1;
1, 1;
2, 3, 1;
4, 9, 6, 1;
8, 25, 26, 10, 1;
16, 65, 95, 60, 15, 1;
32, 161, 308, 279, 120, 21, 1;
64, 385, 917, 1099, 693, 217, 28, 1;
128, 897, 2566, 3856, 3256, 1526, 364, 36, 1;
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CROSSREFS
| Cf. Diagonals : A011782, A002064 ; A000012, A000217.
Sequence in context: A057597 A121340 A165241 * A177896 A193920 A076732
Adjacent sequences: A119862 A119863 A119864 * A119866 A119867 A119868
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 31 2006
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