# rejected sequences

N. J. A. Sloane njas at research.att.com
Thu Oct 3 19:58:40 CEST 2002

```Zak Seidov has been asking me about why sequences get rejected.

One common reason is that they are not well defined, or that their
definition involves an arbitrary but large parameter.

An example would be:  primes that contain the digits 1969

Another is this, submitted by Zak:

%I A074922
%S A074922 0,1,5,6,10,25,50,60,76,100,101,250,275,376,500,501,600,625,724,760,
%T A074922 996,1000,1001,1010,1025,1050,1258,2005,2050,2205,2500,2574,2750,2805,
%U A074922 3760,4005,5000,5001,5004,5010,6000,6001,6020,6131,6250,6416,7240,7600
N A074922 Digits of n enter in all powers n^s with s = 1 - 20.
%C A074922 From first 100000 n from 0 to 99999, there 357 such n sharing their digits with all powers n^s with s from to 20. It seems that with increasing s, the number of n sharing theirs digits with all powers n^s tends to some limit(n) which for n from
%e A074922 n=724, n^2=5(24)1(7)6, n^3=3(7)95034(24), n^4=(274)760478976, n^5=1989265867(7)86(24), n^6=1440228(4)88(27)723776, n^7=10(427)2542551272013824, n^8=(7)5(4)933(2)0807120938008576, n^9=5465(7)1642643555591182090(24), n^10=3957178692(7)3934(24)801
%Y A074922 Cf. A019645, A019654.
%O A074922 1,3
%K A074922 nonn
%A A074922 Zakir F. Seidov (seidovzf at yahoo.com), Oct 02 2002

The parameter 20 here is arbitrary.  If we cahned it to say 99, the sequence
would change.

So I propose to reject this sequence!

NJAS

```