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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 26 05:09 EDT 2017. Contains 292502 sequences.