[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.
Al
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