Integer vitae

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Here is a small sequence of the integers around zero listed in the usual way--in sequence in ascending order. So the only question is: What &$#@*&!*$ numeration (system of representing numbers) did I use?

…, 1010, 1011, 1000, 1001, 1110, 1111, 1100, 1101, 10, 11, 0, 1, 110, 111, 100, 101, 11010, 11011, 11000, 11001, 11110, ...

Comments

  1. John Goes12:56 AM

    Around zero, as: -4,-3,-2,-1,0,1,2,3,4 are around zero?

    Every eighth number seems to share a pattern, but it's not clear. I assume 0 is zero, but I'm not sure I understand the formulation of the problem.

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  2. Anonymous2:07 AM

    Are there negative numbers in the list? Have you dropped the signs or are they encoded too? They appear to be base four couplets, but it's 1AM, I just finished a lot of work, and my brain is dead.

    Substituting as follows:
    A=10
    B=11
    C=00
    D=01

    Your list is then AA,AB,AC,AD,BA,BB,BC,BD,A,B,C,D,DA,DB,DC,DD,DAA,DAB,DAC,DAD,DBA

    which has enough in common with counting to make me think I'm close, but I'd be more convinced if D was followed by BA.

    ReplyDelete
  3. Wabulon4:27 PM

    Good job, guys. I think it's already time for a hint, er, clarification. The twenty-one numerals represent -10 through 10 in sequence, and "0" is indeed 0. The representation shown for -10 means -10; i.e., signs are in some sense encoded.

    ReplyDelete
  4. Anonymous12:44 AM

    Welcome to our game world, twelve sky Gold , 12sky gold , twelvesky Gold , 12Sky Silver Coins and 12 sky gold , they are very interesting.

    ReplyDelete

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