

A275590


When written in English, the terms of the sequence with an odd number of letters form blocks whose sizes are given by the sequence itself.


0



1, 4, 2, 3, 6, 7, 5, 8, 10, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 24, 25, 29, 30, 31, 32, 33, 36, 37, 38, 40, 34, 35, 39, 41, 42, 43, 44, 45, 49, 50, 54, 46, 47, 48, 51, 52, 53, 55, 59, 60, 64, 65, 69, 70, 74, 56, 57, 58, 61, 62, 63, 66, 67, 68, 71, 72, 73, 75, 79, 81, 82, 83, 86, 87, 88, 91, 92, 76, 77, 78, 80, 84, 85, 89, 90, 93
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OFFSET

1,2


COMMENTS

The sequence is started with a(1) = “ONE” and always extended with the smallest English integer not yet used that does not lead to a contradiction.
The sequence is a permutation of the natural numbers.
The convention adopted here is to write the English numbernames like "101" as ONE HUNDRED ONE and not ONE HUNDRED AND ONE  which would have produced a different sequence.


LINKS

Table of n, a(n) for n=1..93.
Index entries for sequences that are permutations of the natural numbers


EXAMPLE

The blocks of “oddwords” are written in UPPER CASE letters and eclosed in parentheses; the successive blocksizes 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, (TWENTYONE, TWENTYTWO, TWENTYTHREE, TWENTYSIX, TWENTYSEVEN, TWENTYEIGHT), twentyfour, twentyfive, twentynine, thirty, (THIRTYONE, THIRTYTWO, THIRTYTHREE, THIRTYSIX, THIRTYSEVEN, THIRTYEIGHT, FORTY), thirtyfour,...


CROSSREFS

Sequence in context: A072425 A282865 A241051 * A083181 A134074 A010315
Adjacent sequences: A275587 A275588 A275589 * A275591 A275592 A275593


KEYWORD

nonn,word,base


AUTHOR

Eric Angelini, Aug 02 2016


STATUS

approved



