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A321971 a(n) is the number of distinct arrangements of the letters in the English word for n. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Counts the distinct permutations of letters of the words 'one', 'two', 'three' etc.

LINKS

Table of n, a(n) for n=1..41.

EXAMPLE

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.

MATHEMATICA

a[n_] := Multinomial @@ Tally[Characters[StringReplace[IntegerName[n, "Words"], {"\[Hyphen]" -> "", " " -> "", ", " -> ""}]]][[;; , 2]]; Array[a, 50] (* Amiram Eldar, Nov 22 2018 *)

CROSSREFS

Related to A005589, which gives the length of the words 'one', 'two', 'three', etc.

Sequence in context: A262893 A084675 A075179 * A074949 A078290 A269888

Adjacent sequences:  A321968 A321969 A321970 * A321972 A321973 A321974

KEYWORD

nonn,word

AUTHOR

Anthony Clohesy, Nov 22 2018

EXTENSIONS

More terms from Amiram Eldar, Nov 22 2018

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)