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Search: id:A133727
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| 1, 1, 2, 1, 0, 5, 1, 2, 0, 7, 1, 0, 0, 0, 14, 1, 2, 5, 0, 0, 13, 1, 0, 0, 0, 0, 0, 27, 1, 2, 0, 7, 0, 0, 0, 26, 1, 0, 5, 0, 0, 0, 0, 0, 39, 1, 2, 0, 0, 14, 0, 0, 0, 0, 38
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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Row sums = the triangular numbers: (1, 3, 6, 10, 15,...). Right diagonal = A007438.
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FORMULA
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Inverse Mobius transform of A007438 as a diagonalized matrix; i.e. A051731 * (1; 0,2 0,0,5; 0,0,0,7;...) where A007438 = (1, 2, 5, 7, 14, 13, 27,...), the Mobius transform of the triangular numbers.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 2;
1, 0, 5;
1, 2, 0, 7;
1, 0, 0, 0, 14;
1, 2, 5, 0, 0, 13;
1, 0, 0, 0, 0, 0, 27;
...
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CROSSREFS
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Cf. A007438, A051731.
Sequence in context: A113469 A060137 A143445 this_sequence A103185 A130513 A114596
Adjacent sequences: A133724 A133725 A133726 this_sequence A133728 A133729 A133730
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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 21 2007
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