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EXAMPLE
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The sequence of all reversed partitions begins:
() (1,1,3) (7) (8)
(1) (1,2,2) (1,6) (1,7)
(2) (1,1,1,2) (2,5) (2,6)
(1,1) (1,1,1,1,1) (1,1,5) (1,1,6)
(3) (6) (3,4) (3,5)
(1,2) (1,5) (1,2,4) (1,2,5)
(1,1,1) (2,4) (1,1,1,4) (1,1,1,5)
(4) (1,1,4) (1,3,3) (4,4)
(1,3) (3,3) (2,2,3) (1,3,4)
(2,2) (1,2,3) (1,1,2,3) (2,2,4)
(1,1,2) (1,1,1,3) (1,1,1,1,3) (1,1,2,4)
(1,1,1,1) (2,2,2) (1,2,2,2) (1,1,1,1,4)
(5) (1,1,2,2) (1,1,1,2,2) (2,3,3)
(1,4) (1,1,1,1,2) (1,1,1,1,1,2) (1,1,3,3)
(2,3) (1,1,1,1,1,1) (1,1,1,1,1,1,1) (1,2,2,3)
We have the following tetrangle of reversed partitions:
0
(1)
(2)(11)
(3)(12)(111)
(4)(13)(22)(112)(1111)
(5)(14)(23)(113)(122)(1112)(11111)
(6)(15)(24)(114)(33)(123)(1113)(222)(1122)(11112)(111111)
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