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

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

Offset

1,3

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

Links

Table of n, a(n) for n=1..7.

Rémy Sigrist, PARI/GP program for A277028

Example

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.

Prog

(PARI) See Sigrist link.

Crossrefs

Cf. A055085, A171102.

Sequence in context: A030521 A105767 A063896 * A156895 A074047 A121810

Adjacent sequences: A277025 A277026 A277027 * A277029 A277030 A277031

Keyword

nonn,base

Author

Rémy Sigrist, Sep 25 2016

Status

approved