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Search: id:A143102
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| 1, 2, 3, 4, 6, 7, 3, 7, 9, 10, 5, 8, 12, 14, 15, 7, 12, 15, 29, 21, 22, 6, 18, 18, 21, 25, 27, 28, 8, 14, 21, 26, 29, 33, 35, 36, 10, 18, 24, 31, 36, 39, 43, 45, 46, 9, 19, 27, 33, 40, 45, 48, 52, 54, 55, 11, 20, 30, 38, 44, 51, 56, 59, 63, 65, 66, 13, 24, 33, 43, 51, 57, 64, 69, 72
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Left border = A143097: (1, 2, 4, 3, 5, 7, 6, 8,...); right border = A143101, partial sums of A143097: (1, 3, 7, 10, 15, 22, 28,...).
Row sums = A143103: (1, 5, 17, 29, 54, 96,...).
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FORMULA
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Triangle read by rows, A000012 * (A143097 * 0(n-k)) * A000012, 1<=k<=n; where = A000012 = an infinite lower triangular matrix with all 1's and A143097 * 0(n-k) = an infinite lower triangular matrix with A143097 (1, 2, 4, 3, 5, 7, 6,...) in the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 3;
4, 6, 7;
3, 7, 9, 10;
5, 8, 12, 14, 15;
7, 12, 15, 19, 21, 22;
6, 13, 18, 21, 25, 27, 28;
...
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CROSSREFS
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Cf. A143097, A143101, A143103.
Sequence in context: A002729 A030209 A138588 this_sequence A013944 A123497 A123501
Adjacent sequences: A143099 A143100 A143101 this_sequence A143103 A143104 A143105
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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), Jul 24 2008
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