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A179544
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Number of Dyck paths of semilength n for which the multiset of ascent lengths and the multiset of descent lengths are the same partition of n.
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0
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1, 1, 2, 5, 12, 30, 80, 219, 614, 1766, 5206, 15646, 47834, 148602, 468110, 1492841, 4814682, 15686156, 51575438
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OFFSET
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0,3
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LINKS
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EXAMPLE
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For n=4 the paths UUUDDUDD and UUDUUDDD fail the definition because {2,2} != {3,1} so a(4) = 12 rather than Catalan(4)=14.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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