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a(1) = 6; thereafter a(n) = smallest number with a(n-1) letters in American English.
1

%I #14 Apr 23 2023 07:28:03

%S 6,11,23,323,1103323373373373373373373373373

%N a(1) = 6; thereafter a(n) = smallest number with a(n-1) letters in American English.

%C a(5) should be findable, but a(6) will probably not be well defined.

%C See A362441 for a British English version.

%D GCHQ, The GCHQ Puzzle Book, Penguin, 2016. See pages 92 and 275.

%F a(n) = A080777(a(n-1)) for n > 1. - _Michael S. Branicky_, Apr 22 2023

%e a(2) = 11 since "eleven" is the smallest number with 6 letters.

%e a(3) = 23 since "twenty three" is the smallest with 11 letters.

%Y Cf. A005589, A362123, A362441.

%K nonn,word,more

%O 1,1

%A _N. J. A. Sloane_, Apr 22 2023

%E a(5) from _Michael S. Branicky_, Apr 22 2023 using A080777