[seqfan] Strictly non-pandigital numbers

Alonso Del Arte alonso.delarte at gmail.com
Thu Dec 10 23:12:27 CET 2009

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.


More information about the SeqFan mailing list