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A210941
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Triangle read by rows in which row n lists the parts > 1 of the n-th zone of the shell model of partitions, with a(1) = 1.
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5
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1, 2, 3, 2, 2, 4, 3, 2, 5, 2, 2, 2, 4, 2, 3, 3, 6, 3, 2, 2, 5, 2, 4, 3, 7, 2, 2, 2, 2, 4, 2, 2, 3, 3, 2, 6, 2, 5, 3, 4, 4, 8, 3, 2, 2, 2, 5, 2, 2, 4, 3, 2, 7, 2, 3, 3, 3, 6, 3, 5, 4, 9, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 2, 6, 2, 2, 5, 3, 2, 4, 4, 2, 8, 2
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OFFSET
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1,2
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COMMENTS
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The n-th zone of the shell model of partitions is formed by the parts of row n followed by infinitely many parts of size 1 (see example and also A210943).
Row n lists the largest part and the parts > 1 of the n-th zone of the model.
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LINKS
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EXAMPLE
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Triangle First 15 zones of the
begins shell model of partitions
--------------------------------------------------
1; 1 1 1 1 1 1 1 1 1 1 1...
2; . 2 1 1 1 1 1 1 1 1 1...
3; . . 3 1 1 1 1 1 1 1 1...
2, 2; . 2 . 2 1 1 1 1 1 1 1...
4; . . . 4 1 1 1 1 1 1 1...
3, 2; . . 3 . 2 1 1 1 1 1 1...
5; . . . . 5 1 1 1 1 1 1...
2, 2, 2; . 2 . 2 . 2 1 1 1 1 1...
4, 2; . . . 4 . 2 1 1 1 1 1...
3, 3; . . 3 . . 3 1 1 1 1 1...
6; . . . . . 6 1 1 1 1 1...
3, 2, 2; . . 3 . 2 . 2 1 1 1 1...
5, 2; . . . . 5 . 2 1 1 1 1...
4, 3; . . . 4 . . 3 1 1 1 1...
7; . . . . . . 7 1 1 1 1...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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