A277028 Numbers that are never pandigital for any base b > 1.

0, 1, 3, 7, 31, 255, 32767

Offset: 1

Author

Rémy Sigrist, Sep 25 2016

Keywords

• nonn
• base

Comments

Here, a number is considered pandigital in base b if any digit from 0 to b-1 appears at least once in its base b representation (ignoring leading zeros).

This is a subsequence of A000225, conjectured to be finite (no other term below 2^1000000).

No other terms below 2^10^10. - Charles R Greathouse IV, Sep 26 2016

Examples

			32767 is not pandigital in any base b between 2 and 6:
  b  32767 in base b  Missing digits
  -  ---------------  --------------
  2  111111111111111  0
  3  1122221121       0
  4  13333333         0, 2
  5  2022032          1, 4
  6  411411           0, 2, 3, 5
Moreover, 32767 is too small to be pandigital in any base b > 6, hence 32767 is in the sequence.
		

Links

• Rémy Sigrist, PARI/GP program for A277028

Crossrefs

Cf. A055085, A171102.

Programs

PARI

See Sigrist link.