[seqfan] Re: Spelling numbers and digits = same length

[Ron Hardin]

Dan Hoey came up with an inequality Spell_Length(n)<=A*n+B (I've forgotten A and 
B, which are fairly small rationals: equality at two points), that was used to 
limit the maximum length of a self-enumerating sentence, and thus make an 
exhaustive search possible.

 rhhardin at mindspring.com
rhhardin at att.net (either)



----- Original Message ----
> From: Eric Angelini <Eric.Angelini at kntv.be>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Wed, February 22, 2012 1:18:55 PM
> Subject: [seqfan] Spelling numbers and digits = same length
> 
> Hello SeqFans,
> below you will find a few numbers which, spelled  in
> English, are as long as the spelling of their digits.
> Is this worth an  entry in the OEIS? 
> 
> 1    2    3 -> 9      11      12      13         15      
> ONE  TWO  ...  NINE   ELEVEN  TWELVE  THIRTEEN  FIFTEEN  
> ONE  TWO   ...  NINE  ONEONE  ONETWO  ONETHREE  ONEFIVE  
> 
> 1001            1002             1003 -> 1009
> ONETHOUSANDONE   ONETHOUSANDTWO  ...     ONETHOUSANDNINE  
> ONEZEROZEROONE  ONEZEROZEROTWO  ...     ONETHOUSANDNINE 
> 
> 2001            2002             2003 -> 2009
> TWOTHOUSANDONE   TWOTHOUSANDTWO  ...     TWOTHOUSANDNINE  
> TWOZEROZEROONE  TWOZEROZEROTWO  ...     TWOTHOUSANDNINE 
> 
> ...
> 
> 9001             9002             9003 -> 9009
> NINETHOUSANDONE   NINETHOUSANDTWO  ...    NINETHOUSANDNINE  
> NINEZEROZEROONE  NINEZEROZEROTWO  ...     NINETHOUSANDNINE
> 
> I guess some numbers are missing in the above  sequence...
> Best,
> É.
> 
> 
> 
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