[seqfan] A fractal English sequence

[Eric Angelini]

Hello SeqFans,

1) underline below all numbers that have at least one letter E in
   their English name;
2) subtract 1 to the number that stands immediately before an
   underlined one;
3) now erase all underlined numbers.

You've just rebuild the starting sequence E.

E=
1,2,3,2,4,5,2,4,6,29,2,4,6,30,31,2,4,6,30,32,33,2,4,6,30,32,34,
35,2,4,6,30,32,34,36,39,2,4,6,30,32,34,36,40,41,2,4,6,30,32,
34,36,40,42,43,2,4,6,30,32,34,36,40,42,44,45,2,4,6,30,32,34,
36,40,42,44,46,49,2,4,6,30,32,34,36,40,42,44,46,50,51,2,4,6,
30,32,34,36,40,42,44,46,50,52,53,2,4,6,30,32,34,36,40,42,44,
46,50,52,54,55,2,4,6,30,32,34,36,40,42,44,46,50,52,54,56,59,
2,4,6,30,32,34,36,40,42,44,46,50,52,54,56,60,61,2,4,6,30,32.
34,36,40,42,44,46,50,52,54,56,60,62,63,2,4,6,30,32,34,36,40,
42,44,46,50,52,54,56,60,62,64,65,2,4,6,30,32,34,36,40,42,44,
46,50,52,54,56,60,62,64,66,1999,2,4,6,30,32,34,36,40,42,44,
46,50,52,54,56,60,62,64,66,2000,2001,...

The sequence E is infinite as there is an infinite quantity
of English number-names with the letter E and an infinite 
quantity of English number-names without E -- at least 
according to this page:

http://simple.m.wikipedia.org/wiki/Names_for_large_numbers

Example:

E=1,2,3,2,4,5,2,4,6,29,2,4,6,30,31,...

Step 1 - underline the "E-numbers":

E=one,2,three,2,4,five,2,4,6,twenty-nine,2,4,6,30,thirty-one,...

Step 2 - subtract 1 from integer immediately before the "E-number":

E=one,1,three,2,3,five,2,4,5,twenty-nine,2,4,6,29,thirty-one,

Step 3 - erase all "E-numbers":

 E=   ,1,     ,2,3,    ,2,4,5,           ,2,4,6,29,  

This is E again.
Best,
É.