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A123683
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Second 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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1
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0, 1, 1, 0, 4, 3, 1, 2, 9, 6, 0, 4, 6, 16, 10, 1, 2, 9, 12, 25, 15, 0, 4, 6, 16, 20, 36, 21, 1, 2, 9, 12, 25, 30, 49, 28
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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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. A000041 A059841 A000217 A000290 A001045 A123640 A123682.
Cf. A000035 A002378.
Sequence in context: A189967 A139623 A080758 * A010306 A197700 A006467
Adjacent sequences: A123680 A123681 A123682 * A123684 A123685 A123686
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KEYWORD
| nonn,tabf
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Oct 06 2006, Oct 19 2006
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