Don’t be arbitrary












4












$begingroup$


What’s the next number in the sequence?
2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 10, ?



P.S
I’m new, so tell me if the question was too hard or too easy.










share|improve this question









$endgroup$

















    4












    $begingroup$


    What’s the next number in the sequence?
    2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 10, ?



    P.S
    I’m new, so tell me if the question was too hard or too easy.










    share|improve this question









    $endgroup$















      4












      4








      4





      $begingroup$


      What’s the next number in the sequence?
      2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 10, ?



      P.S
      I’m new, so tell me if the question was too hard or too easy.










      share|improve this question









      $endgroup$




      What’s the next number in the sequence?
      2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 10, ?



      P.S
      I’m new, so tell me if the question was too hard or too easy.







      number-sequence






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Feb 1 at 13:34









      Arvasu KulkarniArvasu Kulkarni

      573




      573






















          1 Answer
          1






          active

          oldest

          votes


















          5












          $begingroup$

          How about




          5




          because




          each number in the sequence is the lowest base number where the number of the term (first is 1, second is 2, etc) in that base is a palindrome.




          Example:




          1 = 1 in base 2
          2 = 2 in base 3
          3 = 11 in base 2
          4 = 11 in base 3
          5 = 101 in base 2
          6 = 11 in base 5
          7 = 111 in base 2
          8 = 22 in base 3
          9 = 1001 in base 2
          10 = 101 in base 3
          11 = 11 in base 10
          12 = 22 in base 5




          Note:




          I solved this without OEIS, but OEIS has this sequence as sequence A016026







          share|improve this answer









          $endgroup$













          • $begingroup$
            That was fast! Awesome!
            $endgroup$
            – Arvasu Kulkarni
            Feb 1 at 14:48











          Your Answer





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          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          5












          $begingroup$

          How about




          5




          because




          each number in the sequence is the lowest base number where the number of the term (first is 1, second is 2, etc) in that base is a palindrome.




          Example:




          1 = 1 in base 2
          2 = 2 in base 3
          3 = 11 in base 2
          4 = 11 in base 3
          5 = 101 in base 2
          6 = 11 in base 5
          7 = 111 in base 2
          8 = 22 in base 3
          9 = 1001 in base 2
          10 = 101 in base 3
          11 = 11 in base 10
          12 = 22 in base 5




          Note:




          I solved this without OEIS, but OEIS has this sequence as sequence A016026







          share|improve this answer









          $endgroup$













          • $begingroup$
            That was fast! Awesome!
            $endgroup$
            – Arvasu Kulkarni
            Feb 1 at 14:48
















          5












          $begingroup$

          How about




          5




          because




          each number in the sequence is the lowest base number where the number of the term (first is 1, second is 2, etc) in that base is a palindrome.




          Example:




          1 = 1 in base 2
          2 = 2 in base 3
          3 = 11 in base 2
          4 = 11 in base 3
          5 = 101 in base 2
          6 = 11 in base 5
          7 = 111 in base 2
          8 = 22 in base 3
          9 = 1001 in base 2
          10 = 101 in base 3
          11 = 11 in base 10
          12 = 22 in base 5




          Note:




          I solved this without OEIS, but OEIS has this sequence as sequence A016026







          share|improve this answer









          $endgroup$













          • $begingroup$
            That was fast! Awesome!
            $endgroup$
            – Arvasu Kulkarni
            Feb 1 at 14:48














          5












          5








          5





          $begingroup$

          How about




          5




          because




          each number in the sequence is the lowest base number where the number of the term (first is 1, second is 2, etc) in that base is a palindrome.




          Example:




          1 = 1 in base 2
          2 = 2 in base 3
          3 = 11 in base 2
          4 = 11 in base 3
          5 = 101 in base 2
          6 = 11 in base 5
          7 = 111 in base 2
          8 = 22 in base 3
          9 = 1001 in base 2
          10 = 101 in base 3
          11 = 11 in base 10
          12 = 22 in base 5




          Note:




          I solved this without OEIS, but OEIS has this sequence as sequence A016026







          share|improve this answer









          $endgroup$



          How about




          5




          because




          each number in the sequence is the lowest base number where the number of the term (first is 1, second is 2, etc) in that base is a palindrome.




          Example:




          1 = 1 in base 2
          2 = 2 in base 3
          3 = 11 in base 2
          4 = 11 in base 3
          5 = 101 in base 2
          6 = 11 in base 5
          7 = 111 in base 2
          8 = 22 in base 3
          9 = 1001 in base 2
          10 = 101 in base 3
          11 = 11 in base 10
          12 = 22 in base 5




          Note:




          I solved this without OEIS, but OEIS has this sequence as sequence A016026








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Feb 1 at 13:38









          Excited RaichuExcited Raichu

          6,51521166




          6,51521166












          • $begingroup$
            That was fast! Awesome!
            $endgroup$
            – Arvasu Kulkarni
            Feb 1 at 14:48


















          • $begingroup$
            That was fast! Awesome!
            $endgroup$
            – Arvasu Kulkarni
            Feb 1 at 14:48
















          $begingroup$
          That was fast! Awesome!
          $endgroup$
          – Arvasu Kulkarni
          Feb 1 at 14:48




          $begingroup$
          That was fast! Awesome!
          $endgroup$
          – Arvasu Kulkarni
          Feb 1 at 14:48


















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