[seqfan] Re: Niven-Harshad english numbers

[Eric Angelini]

Hello,

I was not making a Gallup upon beauty or ugliness -- just asking:

>>> is there already a list of numbers spelled in english (...)

Best,
É.
(ugly himself)





-----Message d'origine-----
De : franktaw at netscape.net [mailto:franktaw at netscape.net] 
Envoyé : vendredi 13 mars 2009 19:29
À : maximilian.hasler at gmail.com; Eric Angelini; seqfan at list.seqfan.eu
Cc : njas at research.att.com
Objet : Re: [seqfan] Re: Niven-Harshad english numbers

No, that doesn't work -- any initial "A" would be lost.

Two viable approaches in the database are base 27, with blank = 0 -- 
A072959; and base 36 -- A072922.

Incidentally, A110971 is essentially the same as A072959; these should 
be merged.

Franklin T. Adams-Watters


-----Original Message-----
From: Maximilian Hasler <maximilian.hasler at gmail.com>

(sorry: A=0, B=1,... I was misled by the original suggestion, but the
digit with lowest value must of course represent 0.)
M.

On Fri, Mar 13, 2009 at 2:05 PM, Maximilian Hasler
<maximilian.hasler at gmail.com> wrote:
> The analogue of  Niven (or Harshad) numbers
>> http://www.research.att.com/~njas/sequences/A005349
> would be to consider TEN as number written in base 26
> i.e. T*26^2+E*26+N
> where A=1, B=2,...
>
> Maximilian
>
> On Fri, Mar 13, 2009 at 1:50 PM,  <franktaw at netscape.net> wrote:
>> Ugly, ugly, ugly.
>>
>> Sorry, but it is.  There are so many arbitrary features here. 
 Leaving
>> aside that this is both a "base" and a "word" sequence, why does
>> 20,5,14 become 20514 instead of 200514 or (20*26+5)*26+14?  (Your 
way,
>> you can't tell the difference between "ACE" and "ME" -- both are 
135.)
>>
>> Franklin T. Adams-Watters
>>
>>
>> -----Original Message-----
>> From: Eric Angelini <Eric.Angelini at kntv.be>
>>
>> Hello SeqFan,
>>
>> is there already a list of numbers spelled in english
>> which would kind of obey 
this law:
>> http://www.research.att.com/~njas/sequences/A005349
>>
>> For instance T E N is divisible by T+E+N in this way:
>>            20 5 14       /       20+5+14
>>                    20514 / 39 = 526
>> (letters are replaced by their rank in the alphabet)
>> Thanks,
>> É.