OFFSET
1,2
COMMENTS
The sequence is started with a(1) = "ONE" and always extended with the smallest integer not yet used whose name in English does not lead to a contradiction.
The sequence is a permutation of the natural numbers.
The convention adopted here is to write the English number-names like "101" as ONE HUNDRED ONE and not ONE HUNDRED AND ONE (which would have produced a different sequence).
LINKS
EXAMPLE
The blocks of "odd-words" are written in UPPER CASE letters and enclosed in parentheses; the successive block-sizes are 1, 4, 2, 3, 6, 7, ... which reproduces the sequence itself:
(ONE), four, (TWO, THREE, SIX, SEVEN), five, (EIGHT, TEN), nine, eleven, twelve, thirteen, fourteen, (FIFTEEN, SIXTEEN, SEVENTEEN), eighteen, nineteen, twenty, (TWENTY-ONE, TWENTY-TWO, TWENTY-THREE, TWENTY-SIX, TWENTY-SEVEN, TWENTY-EIGHT), twenty-four, twenty-five, twenty-nine, thirty, (THIRTY-ONE, THIRTY-TWO, THIRTY-THREE, THIRTY-SIX, THIRTY-SEVEN, THIRTY-EIGHT, FORTY), thirty-four, ...
CROSSREFS
KEYWORD
nonn,word,base
AUTHOR
Eric Angelini, Aug 02 2016
STATUS
approved