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a(n) is the rank of the US English name of n when all its letters are written in all possible orders and arranged in alphabetic order.
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%I #4 Feb 06 2022 21:33:43

%S 20,6,4,57,2,10,3,41,13,10,5,29,232,8446,6466,574,1618,5422,1594,780,

%T 193,32916,16414,851577,1190618,597346,106029,1153421,2552293,114778,

%U 181,127176,26974,592647,568178,592306,50589,6762941,1191493,330598,1,3696,94

%N a(n) is the rank of the US English name of n when all its letters are written in all possible orders and arranged in alphabetic order.

%C For terms beyond a(100), this sequence uses the US English style, "one hundred one" (not "one hundred and one"), and the short scale (a billion = 10^9, not 10^12).

%e The word ONE comes sixth when all its letters are written in all possible orders and arranged in alphabetic order: ENO, EON, NEO, NOE, OEN, ONE. So a(1) = 6.

%e The word TWO comes fourth when all its letters are written in all possible orders and arranged in alphabetic order: OTW, OWT, TOW, TWO, WOT, WTO. So a(2) = 4.

%Y Cf. A005589.

%K nonn,word

%O 0,1

%A _Mohammed Yaseen_, Jan 29 2022