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

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, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 49, 50, 51, 52, 54, 55, 56, 58, 59, 66, 68, 75, 81, 84, 91, 100, 101, 104, 106

Offset: 1

Author

Derek Orr, Jan 29 2014

Keywords

• nonn
• base

Comments

It is conjectured that 106 is the final number in this sequence. 3^106 contains all digits except for 4.

Complement of A236673.

Examples

			3^44 = 984770902183611232881 does not have all ten decimal digits (the 5 is missing), thus 44 is a member of this sequence.
		

Crossrefs

Cf. A130696, A236673.

Programs

Mathematica

Select[Range[0, 1000], Union[IntegerDigits[3^#]] != Range[0, 9] &] (* T. D. Noe, Jan 29 2014 *)

Python

def PanDigNot(x):
  a = '1234567890'
  for n in range(10**4):
    count = 0
    for i in a:
      if str(x**n).count(i) > 0:
        count += 1
    if count < len(a):
      print(n)