login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 


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

%I #13 Sep 26 2016 03:31:24

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

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

%C 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).

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

%C No other terms below 2^10^10. - _Charles R Greathouse IV_, Sep 26 2016

%H Rémy Sigrist, <a href="/A277028/a277028.gp.txt">PARI/GP program for A277028</a>

%e 32767 is not pandigital in any base b between 2 and 6:

%e b 32767 in base b Missing digits

%e - --------------- --------------

%e 2 111111111111111 0

%e 3 1122221121 0

%e 4 13333333 0, 2

%e 5 2022032 1, 4

%e 6 411411 0, 2, 3, 5

%e Moreover, 32767 is too small to be pandigital in any base b > 6, hence 32767 is in the sequence.

%o (PARI) See Sigrist link.

%Y Cf. A055085, A171102.

%K nonn,base

%O 1,3

%A _Rémy Sigrist_, Sep 25 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 20 04:19 EDT 2024. Contains 376016 sequences. (Running on oeis4.)