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Search: id:A127057
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| A127057 |
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Triangle T(n,k), partial row sums of the n-th row of A127013 read right to left. |
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+0
4
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| 1, 3, 1, 4, 1, 1, 7, 3, 1, 1, 6, 1, 1, 1, 1, 12, 6, 3, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 15, 7, 3, 3, 1, 1, 1, 1, 13, 4, 4, 1, 1, 1, 1, 1, 1, 18, 8, 3, 3, 3, 1, 1, 1, 1, 1, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 28, 16, 10, 6, 3, 3, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 24, 10, 3, 3, 3, 3, 3, 1, 1
(list; table; graph; listen)
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OFFSET
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1,2
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FORMULA
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T(n,k)= sum_{i=1..n-k+1} A127013(n,i), n>=1, 1<=k<=n.
T(n,k)= sum_{i=k..n} A126988(n,i).
Row sums: sum_{k=1..n} T(n,k)= A038040(n).
T(n,1)= A000203(n).
T = A126988 * M as infinite lower triangular matrices, M = (1; 1, 1; 1, 1, 1; ...).
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EXAMPLE
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The triangle starts
1;
3, 1;
4, 1, 1;
7, 3, 1, 1;
6, 1, 1, 1, 1;
12, 6, 3, 1, 1, 1;
8, 1, 1, 1, 1, 1, 1;
15, 7, 3, 3, 1, 1, 1, 1;
13, 4, 4, 1, 1, 1, 1, 1, 1;
18, 8, 3, 3, 3, 1, 1, 1, 1, 1;
...
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CROSSREFS
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Cf. A126988, A127013, A000203, A038040.
Sequence in context: A109411 A130307 A130314 this_sequence A143355 A143319 A078011
Adjacent sequences: A127054 A127055 A127056 this_sequence A127058 A127059 A127060
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 04 2007
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 23 2008
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