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Search: id:A141396
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| A141396 |
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Triangle read by rows, antidiagonals of a multiplication table: 3^n * (numbers not multiples of 3). |
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+0
2
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| 1, 2, 3, 4, 6, 9, 5, 12, 18, 27, 7, 15, 36, 54, 81, 8, 21, 45, 108, 162, 243, 10, 24, 63, 135, 324, 486, 729, 11, 30, 72, 189, 405, 972, 1458, 2187, 13, 33, 90, 216, 567, 1215, 2916, 4374, 6561, 14, 39, 99, 270, 648, 1701, 3645, 8748, 13122, 19683, 16, 42, 117, 297
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Ternary representation of terms in n-th row have n rightmost adjacent zeros.
Row sums = A141397: (1, 5, 19 62, 193, 587,...).
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FORMULA
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Triangle read by rows, descending antidiagonals of the multiplication table: (top row, numbers not multiples of 3); leftmost column, 3^n.
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EXAMPLE
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The array begins:
1,....2,....4,....5,....7,...
3,....6,...12,...15,...21,...
9,...18,...36,...45,...63,...
27,..54,..108,..135,..189,...
81,.162,..324,..405,..567,...
...
Descending antidiagonals of the array give
1;
2, 3;
4, 6, 9;
5, 12, 18, 27;
7, 15, 36, 54, 81;
8, 21, 45, 108, 162, 243;
10, 24, 63, 135, 324, 486, 729;
11, 30, 72, 189, 405, 972, 1458, 2187;
...
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CROSSREFS
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Cf. A141397, A001651.
Sequence in context: A113197 A113199 A083197 this_sequence A098168 A035312 A056230
Adjacent sequences: A141393 A141394 A141395 this_sequence A141397 A141398 A141399
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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), Jun 29 2008
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