[seqfan] Re: definition of pandigital
Maximilian Hasler
maximilian.hasler at gmail.com
Sat Sep 25 15:32:56 CEST 2010
I think the kw "fini" is an error, removing it would make coherent
a) the definition ( the author chose to use "contain" and not "consits of" ;
e.g., 1234567890000000 *does* contain the digits 0-9 )
b) the first comment ("the first 9*9! terms are ...", which strongly suggests
that they are followed by more)
c) the definition in MathWorld by the same author (which again uses "contains"
and also considers the *special case* of a 10-digit pandigital number,
again strongly suggesting that there are such numbers with more digits.
Maximilian
On Sat, Sep 25, 2010 at 6:55 AM, Richard Mathar
<mathar at strw.leidenuniv.nl> wrote:
>
> I see that A050278 is defined (by the author) through the keyword:fini to contain
> only the numbers that contain the digits 0 to 9, each digit not more than once.
> This is obfuscated by the description in Mathworld which says "sometimes
> exclusivity is also required so that each digit is restricted to appear exactly once..."
>
> Then there are sequences like A180618 which use a different notation. Which one
> should we adopt? Should A050278 be two different sequences, one fini with no duplicates in
> the digits, one infinite?
> Who takes care of editing all these sequences that refer to A050278?
> Should sequences that are based on a definition that discards the "fini" be
> removed?
>
>
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