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

1,3

Comments

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

Complement of A236673.

Links

Table of n, a(n) for n=1..64.

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

Cf. A130696, A236673.

Sequence in context: A271143 A056561 A321993 * A273886 A258068 A273885

Adjacent sequences: A236671 A236672 A236673 * A236675 A236676 A236677

Keyword

nonn,base

Author

Derek Orr, Jan 29 2014

Status

approved