

A016037


Map numbers to number of letters in English name; sequence gives number of steps to converge (to 4).


4



1, 3, 3, 2, 0, 1, 3, 2, 2, 1, 3, 4, 4, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4, 2, 3, 3, 4, 2, 2, 3, 4, 4, 2, 2, 3, 3, 4, 2, 2, 3, 4, 4, 2, 2, 3, 3, 4, 2, 2, 3, 4, 4, 2, 3, 4, 4, 5, 5, 5, 4, 5, 5, 5, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4, 4, 2, 2, 5, 4, 4, 2, 5, 5, 4
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OFFSET

0,2


COMMENTS

The smallest n with a(n) = 7 is 1103323373373373373373373373373 (one nonillion one hundred and three octillion ...) which has 323 letters.  Roland Kneer, Jul 04 2013
From Robert G. Wilson v, Mar 13 2017: (Start)
First occurrence of k = 0,1,2,...: 4, 0, 3, 1, 11, 23, 323, 1103323373373373373373373373373, etc.;
0 only occurs at 4;
1 only occurs for n = 0, 5 & 9;
2 only occurs for n = 3, 7, 8, 17, 21, 22, 26, 31, 32, 36, 40, 44, 45, 49, 50, 54, 55, 59, 60, 64, 65, 69, 81, 82, 86, 91, 92 & 96;
3 occurs for n = 1, 2, 6, 10, 13, 14, 15, 16, 18, 19, 41, 42, 46, 51, 52, ..., ;
4 occurs for n = 11, 12, 20, 24, 25, 29, 30, 34, 35, 39, 43, 47, 48, 53, ..., ;
5 occurs for n = 23, 27, 28, 33, 37, 38, 73, 74, 75, 77, 78, 79, 83, 87, ..., ;
6 occurs for n = 323, 327, 328, 333, 337, 338, 374, 375, 379, 383, 387, ..., ; etc.
(End)


LINKS

Table of n, a(n) for n=0..99.


EXAMPLE

1 > 3 > 5 > 4, so a(1) = 3.


MATHEMATICA

(* get t from A005589 *) f[n_] := Length@ NestWhileList[ StringLength@ t[[# + 1]] &, n, UnsameQ, 2]  2; Array[f, 100, 0] (* Robert G. Wilson v, Jun 01 2012 *)


CROSSREFS

Sequence in context: A117252 A181407 A114187 * A106449 A256522 A097278
Adjacent sequences: A016034 A016035 A016036 * A016038 A016039 A016040


KEYWORD

nonn,word


AUTHOR

Robert G. Wilson v


EXTENSIONS

Corrected sequence prompted by Kevin Ryde's email of Wednesday, May 30 2012.  Robert G. Wilson v, Jun 01 2012


STATUS

approved



