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A236674
Exponents of powers of 3 that do not contain all ten decimal digits.
1
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
1,3
COMMENTS
It is conjectured that 106 is the final number in this sequence. 3^106 contains all digits except for 4.
Complement of A236673.
EXAMPLE
3^44 = 984770902183611232881 does not have all ten decimal digits (the 5 is missing), thus 44 is a member of this sequence.
MATHEMATICA
Select[Range[0, 1000], Union[IntegerDigits[3^#]] != Range[0, 9] &] (* T. D. Noe, Jan 29 2014 *)
PROG
(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)
CROSSREFS
Sequence in context: A271143 A056561 A321993 * A273886 A258068 A273885
KEYWORD
nonn,base
AUTHOR
Derek Orr, Jan 29 2014
STATUS
approved