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Search: id:A137586
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| 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 5, 1, 0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 1, 10, 3, 1, 0, 0, 0, 0, 1, 16, 3, 1, 1, 0, 0, 0, 0, 1, 21, 5, 2, 1, 0, 0, 0, 0, 0, 1, 29, 7, 3, 1, 1, 0, 0, 0, 0, 0, 1, 40, 10, 3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 57, 11, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1
(list; table; graph; listen)
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OFFSET
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1,7
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COMMENT
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Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15,...) A137585 = A054525 * A026794.
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FORMULA
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A026794 * A054525, as infinite lower triangular matrices. A026794 = the partition triangle, A054525 = the Mobius transform.
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EXAMPLE
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First few rows of the triangle are:
1;
0, 1;
1, 0, 1;
2, 0, 0, 1;
3, 1, 0, 0, 1;
5, 1, 0, 0, 0, 1;
7, 2, 1, 0, 0, 0, 1;
10, 3, 1, 0, 0, 0, 0, 1;
16, 3, 1, 1, 0, 0, 0, 0, 1;
...
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CROSSREFS
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Cf. A000041, A137585, A026794, A054525.
Sequence in context: A077029 A052553 A045847 this_sequence A157608 A145224 A138157
Adjacent sequences: A137583 A137584 A137585 this_sequence A137587 A137588 A137589
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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), Jan 27 2008
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