[seqfan] Re: Niven-Harshad english numbers
franktaw at netscape.net
franktaw at netscape.net
Fri Mar 13 19:29:06 CET 2009
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.
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