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A321971
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a(n) is the number of distinct arrangements of the letters in the English word for n.
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0
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6, 6, 60, 24, 24, 6, 60, 120, 12, 6, 120, 360, 10080, 20160, 1260, 2520, 7560, 6720, 1120, 360, 45360, 30240, 1108800, 1814400, 907200, 181440, 1663200, 3326400, 151200, 360, 181440, 60480, 831600, 907200, 907200, 90720, 9979200, 1663200, 453600, 120, 20160
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OFFSET
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1,1
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COMMENTS
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Counts the distinct permutations of letters of the words 'one', 'two', 'three' etc.
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LINKS
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EXAMPLE
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For n = 1, a(1) = anagrams of 'one': 3! = 6.
For n = 9, a(9) = anagrams of 'nine' = 4! / 2! due to four letters but the letter 'n' occurring twice.
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MATHEMATICA
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a[n_] := Multinomial @@ Tally[Characters[StringReplace[IntegerName[n, "Words"], {"\[Hyphen]" -> "", " " -> "", ", " -> ""}]]][[;; , 2]]; Array[a, 50] (* Amiram Eldar, Nov 22 2018 *)
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CROSSREFS
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Related to A005589, which gives the length of the words 'one', 'two', 'three', etc.
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KEYWORD
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nonn,word
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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