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Search: id:A133093
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| 1, 3, 1, 6, 3, 1, 10, 6, 5, 1, 15, 10, 15, 5, 1, 21, 15, 35, 15, 7, 1, 28, 21, 70, 35, 28, 7, 1, 36, 28, 126, 70, 84, 28, 9, 1, 45, 36, 210, 126, 210, 84, 45, 9, 1, 55, 45, 330, 210, 462, 210, 165, 45, 11, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A033484: (1, 4, 10, 22, 46, 94,...).
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FORMULA
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A007318 * A097806 * A133080 as infinite lower triangular matrices. Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal, (2,1,2,1,...) in the subdiagonal, and (1,0,1,0,...) in the subsubdiagonal.
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EXAMPLE
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First few rows of the triangle are:
1;
3, 1;
6, 3, 1;
10, 6, 5, 1;
15, 10, 15, 5, 1;
21, 15, 35, 15, 7, 1;
28, 21, 70, 35, 28, 7, 1;
...
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CROSSREFS
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Cf. A133080, A097806, A033484.
Sequence in context: A124928 A122432 A131110 this_sequence A065567 A100861 A131031
Adjacent sequences: A133090 A133091 A133092 this_sequence A133094 A133095 A133096
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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), Sep 09 2007
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