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Search: id:A127625
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| A127625 |
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Triangle, row sums = binomial transform of the ruler sequence, A001511. |
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+0
1
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| 1, 1, 2, 1, 4, 1, 1, 6, 3, 3, 1, 8, 6, 12, 1, 1, 10, 10, 30, 5, 2, 1, 12, 15, 60, 15, 12, 1, 1, 14, 21, 105, 35, 42, 7, 4, 1, 16, 28, 168, 70, 112, 28, 32, 1
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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Right border = the ruler sequence: (1, 2, 1, 3, 1, 2, 1, 4,...), A001511 Row sums = A106461, the binomial transform of A001511: (1, 3, 6, 13, 28, 58,...).
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FORMULA
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P * M, as infinite lower triangular matrices; P = Pascal's triangle, M = the ruler sequence, A001511, in the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 2;
1, 4, 1;
1, 6, 3, 3;
1, 8, 6, 12, 1;
1, 10, 10, 30, 5, 2;
1, 12, 15, 60, 15, 12, 1;
...
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CROSSREFS
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Cf. A106461, A001511.
Sequence in context: A130313 A124428 A124845 this_sequence A124844 A133934 A055327
Adjacent sequences: A127622 A127623 A127624 this_sequence A127626 A127627 A127628
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 20 2007
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