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A258299
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Number of partitions of n*(n-1)*(n-2) into parts that are at most n.
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5
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1, 1, 1, 7, 169, 7166, 436140, 34690401, 3418486403, 402588217564, 55217486292383, 8650673262689142, 1524827150449505994, 298774748146352115019, 64436825369109396329518, 15171417879016739747222223, 3872658124805520661780283663, 1065387724298834666633864592587
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) ~ exp(2*n - 11/4) * n^(n-3) / (2*Pi).
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MAPLE
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T:=proc(n, k) option remember; `if`(n=0 or k=1, 1, T(n, k-1) + `if`(n<k, 0, T(n-k, k))) end proc: seq(T(n*(n-1)*(n-2), n), n=0..20);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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