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Search: id:A135225
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| 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 6, 4, 1, 1, 1, 5, 10, 10, 5, 1, 1, 1, 6, 15, 20, 15, 6, 1, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 1, 8, 28, 56, 70, 56, 28, 1
(list; table; graph; listen)
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OFFSET
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0,9
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COMMENT
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Row sums = A094373: (1, 2, 3, 5, 9, 17, 33,...).
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FORMULA
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A103451 * A007318 * A000012(signed), where A000012(signed) = (1; -1,1; 1,-1,1;...); as infinite lower triangular matrices. Given A007318, bin(n,k) is shifted to T(n+1,k+1) and a leftmost border of 1's is added.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
1, 1, 1;
1, 1, 2, 1;
1, 1, 3, 3, 1;
1, 1, 4, 6, 4, 1;
...
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CROSSREFS
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Cf. A007318, A094373.
Sequence in context: A096815 A124445 A124279 this_sequence A047030 A047120 A096751
Adjacent sequences: A135222 A135223 A135224 this_sequence A135226 A135227 A135228
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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), Nov 23 2007
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