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A123682
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First in an infinite series of triangular arrays which, when taken together, sum to 1,1,3,5,11,21,43,85,... cf. A001045.
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2
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1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 2, 4, 4, 1, 1, 1, 3, 3, 5, 5, 1, 0, 2, 2, 4, 4, 6, 6, 1, 1, 1, 3, 3, 5, 5, 7, 7, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,8
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COMMENTS
| The starting row for each triangle is determined by the applicable source integer partition; thus for partitions 1,22,33,222,44,332,2222,333,... the starting rows are 1,4,6,6,8,8,8,9,...
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EXAMPLE
| Summing the row sums of the triangular arrays we have
1 1
1 1
3 3
5 5 0
11 9 2
21 13 7 1 0
43 19 18 4 2
85 25 36 12 10 2
...
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CROSSREFS
| Cf. A059841 A001045 A123640.
Sequence in context: A175685 A182591 A058914 * A134513 A201881 A140751
Adjacent sequences: A123679 A123680 A123681 * A123683 A123684 A123685
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KEYWORD
| nonn,tabf
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Oct 06 2006
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