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A236674 Exponents of powers of 3 that do not contain all ten decimal digits.

%I A236674 #13 May 22 2025 10:21:36
%S A236674 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
%T A236674 26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,49,50,51,52,
%U A236674 54,55,56,58,59,66,68,75,81,84,91,100,101,104,106
%N A236674 Exponents of powers of 3 that do not contain all ten decimal digits.
%C A236674 It is conjectured that 106 is the final number in this sequence. 3^106 contains all digits except for 4.
%C A236674 Complement of A236673.
%e A236674 3^44 = 984770902183611232881 does not have all ten decimal digits (the 5 is missing), thus 44 is a member of this sequence.
%t A236674 Select[Range[0, 1000], Union[IntegerDigits[3^#]] != Range[0, 9] &] (* _T. D. Noe_, Jan 29 2014 *)
%o A236674 (Python)
%o A236674 def PanDigNot(x):
%o A236674   a = '1234567890'
%o A236674   for n in range(10**4):
%o A236674     count = 0
%o A236674     for i in a:
%o A236674       if str(x**n).count(i) > 0:
%o A236674         count += 1
%o A236674     if count < len(a):
%o A236674       print(n)
%Y A236674 Cf. A130696, A236673.
%K A236674 nonn,base
%O A236674 1,3
%A A236674 _Derek Orr_, Jan 29 2014