[seqfan] Re: Dumb, language, base dependent department

[Eric Angelini]

Ah, yes, well thought, Hans!
I've just found, before reading your post,
a sequence (as previously described)
that works both in English _and_ in French!
Here is seq. EF:

EF = 1,4,11,13,14,2,3,5,9,20,21,22,23,25,29,31,15,16,24,34,44,54,64,74,76,84,94,96,104,32,33,35,39,41,42,43,45,49,51,52,53,55,59,111,113,61,62,63,114,...

Example:

ONE . UN  = 1-chunk
FOUR . QUATRE
ELEVEN . ONZE
THIRTEEN . TREIZE
FOURTEEN . QUATORZE = 4-chunk
TWO . DEUX
THREE . TROIS
FIVE . CINQ
NINE . NEUF
TWENTY . VINGT
TWENTY-ONE . VINGT-ET-UN
TWENTY-TWO . VINGT-DEUX
TWENTY-THREE . VINGT-TROIS
TWENTY-FIVE . VINGT-CINQ
TWENTY-NINE . VINGT-NEUF
THIRTY-ONE . TRENTE-ET-UN = 11-chunk 

etc.

The English number-names chunks end alernatively
with a vowel, then a consonant, then a vowel, etc.
The French number-names chunks end alternatively
with a consonant, then a vowel, then
a consonant, etc.

EF is no more a permutation of the integers > 0 
because some number-names end with a consonant
both in English and French (6, for instance, or 7, 8, 10, etc.)

Best,
É.

Le 13 sept. 2014 à 22:31, "Hans Havermann" <gladhobo at teksavvy.com> a écrit :

>> Integers ending either with a vowel or with a consonant (in English), are separated in chunks. 
>> The sizes of the said chunks are given by the sequence S itself.
> 
> It wasn't stated as such but your S makes it clear that you were simply alternating vowel-ending chunks with consonant-ending chunks: (1), (4,6,7,8), (2,3,5,9,12,20), (10,11,13,14,15,16,17), .. [v,c,v,c,..]
> 
> It needn't be so. One may allow the smallest number not yet used (#,..) to determine the v-or-c chunk: (1), (2,3), (4,6,7), (5,9,12,20), (8,10,11,13,14,15), (16,17,18,19,24,26,27), (21,22,23,25,29), .. [v,v,c,v,c,c,v,..]
> 
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