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Search: id:A133736
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| 1, 1, 1, 1, 0, 2, 1, 1, 0, 3, 1, 0, 0, 0, 6, 1, 1, 2, 0, 0, 7, 1, 0, 0, 0, 0, 0, 14, 1, 1, 0, 3, 0, 0, 0, 17, 1, 0, 2, 0, 0, 0, 0, 0, 27, 1, 1, 0, 0, 6, 0, 0, 0, 0, 34
(list; table; graph; listen)
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OFFSET
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1,6
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COMMENT
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Right border = A000837: (1, 1, 2, 3, 6, 7, 14, 17,...). Row sums = A000041, the partition numbers, starting with offset 1: (1, 2, 3, 5, 7, 11, 15, 22, 30,...).
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FORMULA
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A051731 * A000837 as a diagonalized matrix M, where M = T(n,k) = A000837(n) * 0^(n-k), 1<=k<=n; i.e. (1; 0,1; 0,0,2; 0,0,0,3; 0,0,0,0,6;...). A051731 = the inverse Mobius transform.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
1, 0, 2;
1, 1, 0, 3;
1, 0, 0, 0, 6;
1, 1, 2, 0, 0, 7;
1, 0, 0, 0, 0, 0, 14;
...
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CROSSREFS
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Cf. A000837, A051731, A000041.
Sequence in context: A113949 A128589 A130162 this_sequence A136481 A100218 A098599
Adjacent sequences: A133733 A133734 A133735 this_sequence A133737 A133738 A133739
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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 22 2007
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