A sequence of peculiar palindromes












11












$begingroup$


My son Robin came up with this: 0550, 1001, 1111, 1221, 1331, 1441, 1551, 2002...



What are the next 4 numbers? Solve it today!






number-sequence







share|improve this question









$endgroup$

















    11












    $begingroup$


    My son Robin came up with this: 0550, 1001, 1111, 1221, 1331, 1441, 1551, 2002...



    What are the next 4 numbers? Solve it today!






    number-sequence







    share|improve this question









    $endgroup$















      11












      11








      11


      1



      $begingroup$


      My son Robin came up with this: 0550, 1001, 1111, 1221, 1331, 1441, 1551, 2002...



      What are the next 4 numbers? Solve it today!






      number-sequence







      share|improve this question









      $endgroup$




      My son Robin came up with this: 0550, 1001, 1111, 1221, 1331, 1441, 1551, 2002...



      What are the next 4 numbers? Solve it today!






      number-sequence




      number-sequence






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Jan 4 at 15:06









      Peter A. SchneiderPeter A. Schneider

      1585




      1585






















          2 Answers
          2






          active

          oldest

          votes


















          13












          $begingroup$

          I would say Greg is almost correct but that the actual answer is




          2112, 2222, 2332, 0000




          Because these are




          Palindromic times on a digital clock, in order (e.g, 21:12, 22:22)







          share|improve this answer









          $endgroup$













          • $begingroup$
            Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
            $endgroup$
            – Greg
            Jan 4 at 15:17










          • $begingroup$
            @Greg, not sure, can you see a connection? I thought it was just the truth.
            $endgroup$
            – hexomino
            Jan 4 at 15:19










          • $begingroup$
            I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
            $endgroup$
            – Greg
            Jan 4 at 15:20



















          4












          $begingroup$


          2112, 2222, 2332, 2442, (2552, 3003) (next 6 for good measure)




          Because:




          The middle two numbers increase by one, when they reach 6, the outside numbers go up by one, the middle numbers go to zero (sort of modulo 6)







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
            $endgroup$
            – Peter A. Schneider
            Jan 4 at 15:14












          Your Answer





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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          13












          $begingroup$

          I would say Greg is almost correct but that the actual answer is




          2112, 2222, 2332, 0000




          Because these are




          Palindromic times on a digital clock, in order (e.g, 21:12, 22:22)







          share|improve this answer









          $endgroup$













          • $begingroup$
            Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
            $endgroup$
            – Greg
            Jan 4 at 15:17










          • $begingroup$
            @Greg, not sure, can you see a connection? I thought it was just the truth.
            $endgroup$
            – hexomino
            Jan 4 at 15:19










          • $begingroup$
            I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
            $endgroup$
            – Greg
            Jan 4 at 15:20
















          13












          $begingroup$

          I would say Greg is almost correct but that the actual answer is




          2112, 2222, 2332, 0000




          Because these are




          Palindromic times on a digital clock, in order (e.g, 21:12, 22:22)







          share|improve this answer









          $endgroup$













          • $begingroup$
            Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
            $endgroup$
            – Greg
            Jan 4 at 15:17










          • $begingroup$
            @Greg, not sure, can you see a connection? I thought it was just the truth.
            $endgroup$
            – hexomino
            Jan 4 at 15:19










          • $begingroup$
            I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
            $endgroup$
            – Greg
            Jan 4 at 15:20














          13












          13








          13





          $begingroup$

          I would say Greg is almost correct but that the actual answer is




          2112, 2222, 2332, 0000




          Because these are




          Palindromic times on a digital clock, in order (e.g, 21:12, 22:22)







          share|improve this answer









          $endgroup$



          I would say Greg is almost correct but that the actual answer is




          2112, 2222, 2332, 0000




          Because these are




          Palindromic times on a digital clock, in order (e.g, 21:12, 22:22)








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Jan 4 at 15:12









          hexominohexomino

          45.8k4140219




          45.8k4140219












          • $begingroup$
            Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
            $endgroup$
            – Greg
            Jan 4 at 15:17










          • $begingroup$
            @Greg, not sure, can you see a connection? I thought it was just the truth.
            $endgroup$
            – hexomino
            Jan 4 at 15:19










          • $begingroup$
            I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
            $endgroup$
            – Greg
            Jan 4 at 15:20


















          • $begingroup$
            Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
            $endgroup$
            – Greg
            Jan 4 at 15:17










          • $begingroup$
            @Greg, not sure, can you see a connection? I thought it was just the truth.
            $endgroup$
            – hexomino
            Jan 4 at 15:19










          • $begingroup$
            I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
            $endgroup$
            – Greg
            Jan 4 at 15:20
















          $begingroup$
          Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
          $endgroup$
          – Greg
          Jan 4 at 15:17




          $begingroup$
          Ahh. Good call! Does ROT13(Zl fba Ebova) have anything to do with it?
          $endgroup$
          – Greg
          Jan 4 at 15:17












          $begingroup$
          @Greg, not sure, can you see a connection? I thought it was just the truth.
          $endgroup$
          – hexomino
          Jan 4 at 15:19




          $begingroup$
          @Greg, not sure, can you see a connection? I thought it was just the truth.
          $endgroup$
          – hexomino
          Jan 4 at 15:19












          $begingroup$
          I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
          $endgroup$
          – Greg
          Jan 4 at 15:20




          $begingroup$
          I can not. I was wondering how you made connection with the second part of you answer (thought that might be why)
          $endgroup$
          – Greg
          Jan 4 at 15:20











          4












          $begingroup$


          2112, 2222, 2332, 2442, (2552, 3003) (next 6 for good measure)




          Because:




          The middle two numbers increase by one, when they reach 6, the outside numbers go up by one, the middle numbers go to zero (sort of modulo 6)







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
            $endgroup$
            – Peter A. Schneider
            Jan 4 at 15:14
















          4












          $begingroup$


          2112, 2222, 2332, 2442, (2552, 3003) (next 6 for good measure)




          Because:




          The middle two numbers increase by one, when they reach 6, the outside numbers go up by one, the middle numbers go to zero (sort of modulo 6)







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
            $endgroup$
            – Peter A. Schneider
            Jan 4 at 15:14














          4












          4








          4





          $begingroup$


          2112, 2222, 2332, 2442, (2552, 3003) (next 6 for good measure)




          Because:




          The middle two numbers increase by one, when they reach 6, the outside numbers go up by one, the middle numbers go to zero (sort of modulo 6)







          share|improve this answer









          $endgroup$




          2112, 2222, 2332, 2442, (2552, 3003) (next 6 for good measure)




          Because:




          The middle two numbers increase by one, when they reach 6, the outside numbers go up by one, the middle numbers go to zero (sort of modulo 6)








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Jan 4 at 15:07









          GregGreg

          2,291319




          2,291319








          • 1




            $begingroup$
            Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
            $endgroup$
            – Peter A. Schneider
            Jan 4 at 15:14














          • 1




            $begingroup$
            Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
            $endgroup$
            – Peter A. Schneider
            Jan 4 at 15:14








          1




          1




          $begingroup$
          Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
          $endgroup$
          – Peter A. Schneider
          Jan 4 at 15:14




          $begingroup$
          Your observation is correct but there is an everyday reason for it; our answer is therefore more specific.
          $endgroup$
          – Peter A. Schneider
          Jan 4 at 15:14


















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