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A296774
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Triangle read by rows in which row n lists the compositions of n ordered first by length and then reverse-lexicographically.
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26
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1, 2, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 5, 4, 1, 3, 2, 2, 3, 1, 4, 3, 1, 1, 2, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 2, 1, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 6, 5, 1, 4, 2, 3, 3
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OFFSET
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1,2
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LINKS
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EXAMPLE
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Triangle of compositions begins:
(1),
(2),(11),
(3),(21),(12),(111),
(4),(31),(22),(13),(211),(121),(112),(1111),
(5),(41),(32),(23),(14),(311),(221),(212),(131),(122),(113),(2111),(1211),(1121),(1112),(11111).
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MATHEMATICA
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Table[Sort[Join@@Permutations/@IntegerPartitions[n], Or[Length[#1]<Length[#2], Length[#1]===Length[#2]&&OrderedQ[{#2, #1}]]&], {n, 6}]
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CROSSREFS
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Cf. A066099, A101211, A108730, A124734, A228369, A281013, A294859, A296302, A296656, A296772, A296773.
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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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