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Search: id:A143612
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| 1, 1, 0, 3, 2, 0, 4, 3, 3, 0, 10, 9, 7, 4, 0, 6, 5, 5, 5, 5, 0, 21, 20, 18, 15, 11, 6, 0, 16, 15, 15, 12, 12, 7, 7, 0, 27, 26, 24, 24, 20, 15, 15, 8, 0, 20, 19, 19, 16, 16, 16, 16, 9, 9, 0, 55, 54, 52, 49, 45, 40, 34, 27, 19, 10, 0, 24, 23, 23, 23, 23, 18, 18, 11, 11, 11, 11, 0, 78, 77, 75
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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Left border of the triangle = A123896: (1, 1, 3, 4, 10, 6, 21,...).
Row sums = A053818: (1, 1, 5, 10, 30, 26, 91,...).
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FORMULA
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Triangle read by rows, A127368 * A000012, 1<=k<=n. Triangle A127368 records the reduced residue system mod n. The operator A000012 takes partial sums starting from the right in A127368 rows.
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EXAMPLE
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First few rows of the triangle =
1;
1, 0;
3, 2, 0;
4, 3, 3, 0;
10, 9, 7, 4, 0;
6, 5, 5, 5, 5, 0;
21, 20, 18, 15, 11, 6, 0;
16, 15, 15, 12, 12, 7, 7, 0;
...
Row 5 = (10, 9, 7, 4, 0) since row 5 of triangle A127368 = (1, 2, 3, 4, 0).
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CROSSREFS
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Cf. A127368, A023896, A053818.
Sequence in context: A005874 A129239 A127571 this_sequence A011231 A138377 A021316
Adjacent sequences: A143609 A143610 A143611 this_sequence A143613 A143614 A143615
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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), Aug 27 2008
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