Staying grounded












3












$begingroup$


I found a somewhat meaningful sequence that is not on OEIS yet, incredible!



Here are the first 100 numbers of this sequence:



 1,  2,  3,  4,  5,  6,  7,  8,  9,  2,
3, 5, 7, 9, 11, 13, 15, 17, 19, 6,
7, 8, 11, 14, 17, 20, 23, 26, 29, 12,
13, 14, 15, 19, 23, 27, 31, 35, 39, 20,
21, 22, 23, 24, 29, 34, 39, 44, 49, 30,
31, 32, 33, 34, 35, 41, 47, 53, 59, 42,
43, 44, 45, 46, 47, 48, 55, 62, 69, 56,
57, 58, 59, 60, 61, 62, 63, 71, 79, 72,
73, 74, 75, 76, 77, 78, 79, 80, 89, 90,
91, 92, 93, 94, 95, 96, 97, 98, 99, 4, …


Guess the next 10 numbers (and the pattern of course).



Hint 1:




I can write the pattern in eight words.




Hint 2:




Some mathematical purists would complain that I'm using an arbitrarily chosen standard. But this standard is used so often that many people don't even know about other ways to do it. These people could not solve this puzzle.




Hint 3, the first 1000 numbers of the sequence:



Will follow if nobody guesses it with the first 100 numbers.










share|improve this question









$endgroup$

















    3












    $begingroup$


    I found a somewhat meaningful sequence that is not on OEIS yet, incredible!



    Here are the first 100 numbers of this sequence:



     1,  2,  3,  4,  5,  6,  7,  8,  9,  2,
    3, 5, 7, 9, 11, 13, 15, 17, 19, 6,
    7, 8, 11, 14, 17, 20, 23, 26, 29, 12,
    13, 14, 15, 19, 23, 27, 31, 35, 39, 20,
    21, 22, 23, 24, 29, 34, 39, 44, 49, 30,
    31, 32, 33, 34, 35, 41, 47, 53, 59, 42,
    43, 44, 45, 46, 47, 48, 55, 62, 69, 56,
    57, 58, 59, 60, 61, 62, 63, 71, 79, 72,
    73, 74, 75, 76, 77, 78, 79, 80, 89, 90,
    91, 92, 93, 94, 95, 96, 97, 98, 99, 4, …


    Guess the next 10 numbers (and the pattern of course).



    Hint 1:




    I can write the pattern in eight words.




    Hint 2:




    Some mathematical purists would complain that I'm using an arbitrarily chosen standard. But this standard is used so often that many people don't even know about other ways to do it. These people could not solve this puzzle.




    Hint 3, the first 1000 numbers of the sequence:



    Will follow if nobody guesses it with the first 100 numbers.










    share|improve this question









    $endgroup$















      3












      3








      3





      $begingroup$


      I found a somewhat meaningful sequence that is not on OEIS yet, incredible!



      Here are the first 100 numbers of this sequence:



       1,  2,  3,  4,  5,  6,  7,  8,  9,  2,
      3, 5, 7, 9, 11, 13, 15, 17, 19, 6,
      7, 8, 11, 14, 17, 20, 23, 26, 29, 12,
      13, 14, 15, 19, 23, 27, 31, 35, 39, 20,
      21, 22, 23, 24, 29, 34, 39, 44, 49, 30,
      31, 32, 33, 34, 35, 41, 47, 53, 59, 42,
      43, 44, 45, 46, 47, 48, 55, 62, 69, 56,
      57, 58, 59, 60, 61, 62, 63, 71, 79, 72,
      73, 74, 75, 76, 77, 78, 79, 80, 89, 90,
      91, 92, 93, 94, 95, 96, 97, 98, 99, 4, …


      Guess the next 10 numbers (and the pattern of course).



      Hint 1:




      I can write the pattern in eight words.




      Hint 2:




      Some mathematical purists would complain that I'm using an arbitrarily chosen standard. But this standard is used so often that many people don't even know about other ways to do it. These people could not solve this puzzle.




      Hint 3, the first 1000 numbers of the sequence:



      Will follow if nobody guesses it with the first 100 numbers.










      share|improve this question









      $endgroup$




      I found a somewhat meaningful sequence that is not on OEIS yet, incredible!



      Here are the first 100 numbers of this sequence:



       1,  2,  3,  4,  5,  6,  7,  8,  9,  2,
      3, 5, 7, 9, 11, 13, 15, 17, 19, 6,
      7, 8, 11, 14, 17, 20, 23, 26, 29, 12,
      13, 14, 15, 19, 23, 27, 31, 35, 39, 20,
      21, 22, 23, 24, 29, 34, 39, 44, 49, 30,
      31, 32, 33, 34, 35, 41, 47, 53, 59, 42,
      43, 44, 45, 46, 47, 48, 55, 62, 69, 56,
      57, 58, 59, 60, 61, 62, 63, 71, 79, 72,
      73, 74, 75, 76, 77, 78, 79, 80, 89, 90,
      91, 92, 93, 94, 95, 96, 97, 98, 99, 4, …


      Guess the next 10 numbers (and the pattern of course).



      Hint 1:




      I can write the pattern in eight words.




      Hint 2:




      Some mathematical purists would complain that I'm using an arbitrarily chosen standard. But this standard is used so often that many people don't even know about other ways to do it. These people could not solve this puzzle.




      Hint 3, the first 1000 numbers of the sequence:



      Will follow if nobody guesses it with the first 100 numbers.







      mathematics number-sequence






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 1 hour ago









      Fabian RölingFabian Röling

      1559




      1559






















          1 Answer
          1






          active

          oldest

          votes


















          4












          $begingroup$

          I think you are




          Recasting the decimal representation of the numbers in the lowest possible base.




          So for example




          The decimal number 10, is also a number in base 2 (lowest possible) and is just 2.




          The next 10 numbers will be




          5, 11, 19, 29, 41, 55, 71, 89, 109, 6

          i.e, 101 in base 2, 102 in base 3, 103 in base 4, 104 in base 5, etc




          Title




          This explanation also fits the title as instead of viewing each number in a higher base (10) we ground the number to its lowest possible. Thanks, Omega Krypton for the prompt.







          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            this also explains the title, you can also add it in your answer ;) +1
            $endgroup$
            – Omega Krypton
            59 mins ago












          • $begingroup$
            Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
            $endgroup$
            – Fabian Röling
            54 mins ago












          • $begingroup$
            I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
            $endgroup$
            – hexomino
            42 mins ago











          Your Answer





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          1 Answer
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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          4












          $begingroup$

          I think you are




          Recasting the decimal representation of the numbers in the lowest possible base.




          So for example




          The decimal number 10, is also a number in base 2 (lowest possible) and is just 2.




          The next 10 numbers will be




          5, 11, 19, 29, 41, 55, 71, 89, 109, 6

          i.e, 101 in base 2, 102 in base 3, 103 in base 4, 104 in base 5, etc




          Title




          This explanation also fits the title as instead of viewing each number in a higher base (10) we ground the number to its lowest possible. Thanks, Omega Krypton for the prompt.







          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            this also explains the title, you can also add it in your answer ;) +1
            $endgroup$
            – Omega Krypton
            59 mins ago












          • $begingroup$
            Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
            $endgroup$
            – Fabian Röling
            54 mins ago












          • $begingroup$
            I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
            $endgroup$
            – hexomino
            42 mins ago
















          4












          $begingroup$

          I think you are




          Recasting the decimal representation of the numbers in the lowest possible base.




          So for example




          The decimal number 10, is also a number in base 2 (lowest possible) and is just 2.




          The next 10 numbers will be




          5, 11, 19, 29, 41, 55, 71, 89, 109, 6

          i.e, 101 in base 2, 102 in base 3, 103 in base 4, 104 in base 5, etc




          Title




          This explanation also fits the title as instead of viewing each number in a higher base (10) we ground the number to its lowest possible. Thanks, Omega Krypton for the prompt.







          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            this also explains the title, you can also add it in your answer ;) +1
            $endgroup$
            – Omega Krypton
            59 mins ago












          • $begingroup$
            Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
            $endgroup$
            – Fabian Röling
            54 mins ago












          • $begingroup$
            I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
            $endgroup$
            – hexomino
            42 mins ago














          4












          4








          4





          $begingroup$

          I think you are




          Recasting the decimal representation of the numbers in the lowest possible base.




          So for example




          The decimal number 10, is also a number in base 2 (lowest possible) and is just 2.




          The next 10 numbers will be




          5, 11, 19, 29, 41, 55, 71, 89, 109, 6

          i.e, 101 in base 2, 102 in base 3, 103 in base 4, 104 in base 5, etc




          Title




          This explanation also fits the title as instead of viewing each number in a higher base (10) we ground the number to its lowest possible. Thanks, Omega Krypton for the prompt.







          share|improve this answer











          $endgroup$



          I think you are




          Recasting the decimal representation of the numbers in the lowest possible base.




          So for example




          The decimal number 10, is also a number in base 2 (lowest possible) and is just 2.




          The next 10 numbers will be




          5, 11, 19, 29, 41, 55, 71, 89, 109, 6

          i.e, 101 in base 2, 102 in base 3, 103 in base 4, 104 in base 5, etc




          Title




          This explanation also fits the title as instead of viewing each number in a higher base (10) we ground the number to its lowest possible. Thanks, Omega Krypton for the prompt.








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 58 mins ago

























          answered 1 hour ago









          hexominohexomino

          38.2k2112180




          38.2k2112180








          • 1




            $begingroup$
            this also explains the title, you can also add it in your answer ;) +1
            $endgroup$
            – Omega Krypton
            59 mins ago












          • $begingroup$
            Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
            $endgroup$
            – Fabian Röling
            54 mins ago












          • $begingroup$
            I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
            $endgroup$
            – hexomino
            42 mins ago














          • 1




            $begingroup$
            this also explains the title, you can also add it in your answer ;) +1
            $endgroup$
            – Omega Krypton
            59 mins ago












          • $begingroup$
            Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
            $endgroup$
            – Fabian Röling
            54 mins ago












          • $begingroup$
            I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
            $endgroup$
            – hexomino
            42 mins ago








          1




          1




          $begingroup$
          this also explains the title, you can also add it in your answer ;) +1
          $endgroup$
          – Omega Krypton
          59 mins ago






          $begingroup$
          this also explains the title, you can also add it in your answer ;) +1
          $endgroup$
          – Omega Krypton
          59 mins ago














          $begingroup$
          Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
          $endgroup$
          – Fabian Röling
          54 mins ago






          $begingroup$
          Awww, that was apparently too easy, you solved it in less than 6 minutes. :D I also like that interpretation of the title, what I really thought was just "something with 'base'". What do you think, how many numbers in the sequence would have been enough to guess it?
          $endgroup$
          – Fabian Röling
          54 mins ago














          $begingroup$
          I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
          $endgroup$
          – hexomino
          42 mins ago




          $begingroup$
          I'm sorry I solved it quickly, it sometimes is just luck on whether somebody hits upon the right idea or not, this is a very clever puzzle. The fact that there is a drop every 10 did indicate that it had something to do with base. The big clue was dropping from 99 to 4 and maybe omitting that would make it slightly harder.
          $endgroup$
          – hexomino
          42 mins ago


















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