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Search: id:A127899
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| A127899 |
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Transform related to the harmonic series. |
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+0
11
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| 1, -2, 2, 0, -3, 3, 0, 0, -4, 4, 0, 0, 0, -5, 5, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 0, -8, 8
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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This transform is the inverse of a triangle in which each row has n terms of the harmonic series; i.e. the inverse of: 1; 1, 1/2; 1, 1/2, 1/3; ...
Eigensequence of the unsigned triangle = A002467 starting (1, 4, 15, 76, 455,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
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FORMULA
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Triangle, a(1) = 1; by rows, (n-2) zeros followed by -n, n.
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EXAMPLE
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First few rows of the triangle are:
1;
-2, 2;
0, -3, 3;
0, 0, -4, 4;
0, 0, 0, -5, 5;
0, 0, 0, 0, -6, 6;
0, 0, 0, 0, 0, -7, 7;
...
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CROSSREFS
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A002467 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
Sequence in context: A108807 A129236 A127465 this_sequence A128615 A087508 A095731
Adjacent sequences: A127896 A127897 A127898 this_sequence A127900 A127901 A127902
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 04 2007
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