[seqfan] Re: Strictly non-pandigital numbers
franktaw at netscape.net
franktaw at netscape.net
Fri Dec 11 00:00:06 CET 2009
It might be enough to prove that, but don't hold your breath. Problems
of this sort are notoriously intractable.
Franklin T. Adams-Watters
-----Original Message-----
From: Alonso Del Arte <alonso.delarte at gmail.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Thu, Dec 10, 2009 4:12 pm
Subject: [seqfan] Strictly non-pandigital numbers
Just wondering if anyone has studied strictly non-pandigital numbers
(analogous to strictly non-palindromic numbers).
Obviously they must be Mersenne numbers. 1, 3, 7, 31, 255, fit the
bill. An
OEIS search gives just A063896, 2^Fibonacci(n) - 1. The next term
given by
that sequence is 8191, which is pandigital in base 3.
If the sequence of strictly non-pandigital numbers is finite, it might
be
enough to prove that Mersenne numbers greater than 255 are always
pandigital
in base 3.
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