speciality of the binary sequence $underline{100101100110100}101101001$












1












$begingroup$


One friend has given me this binary sequence and asked what is its speciality if we add next few terms to this sequence?

The binary sequence was:
$$color{blue}{underline{100101100110100}}101101001 dots$$
Hints Given: It's a Classical one.

So,could anyone please help me to recognise its speciality...






pattern number-sequence







share|improve this question







New contributor




Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$

















    1












    $begingroup$


    One friend has given me this binary sequence and asked what is its speciality if we add next few terms to this sequence?

    The binary sequence was:
    $$color{blue}{underline{100101100110100}}101101001 dots$$
    Hints Given: It's a Classical one.

    So,could anyone please help me to recognise its speciality...






    pattern number-sequence







    share|improve this question







    New contributor




    Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$















      1












      1








      1





      $begingroup$


      One friend has given me this binary sequence and asked what is its speciality if we add next few terms to this sequence?

      The binary sequence was:
      $$color{blue}{underline{100101100110100}}101101001 dots$$
      Hints Given: It's a Classical one.

      So,could anyone please help me to recognise its speciality...






      pattern number-sequence







      share|improve this question







      New contributor




      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      One friend has given me this binary sequence and asked what is its speciality if we add next few terms to this sequence?

      The binary sequence was:
      $$color{blue}{underline{100101100110100}}101101001 dots$$
      Hints Given: It's a Classical one.

      So,could anyone please help me to recognise its speciality...






      pattern number-sequence




      pattern number-sequence






      share|improve this question







      New contributor




      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




      share|improve this question






      New contributor




      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked yesterday









      SureshSuresh

      1224




      1224




      New contributor




      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Suresh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          3 Answers
          3






          active

          oldest

          votes


















          10












          $begingroup$

          Is it:




          The (opposite of the) Thue-Morse sequence.


          Start with $1 to 10 to 1001 to 10010110 to 1001011001101001$, where at each step the opposite of what is already there is added.







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Note for the curious: this is in fact equivalent to gopal's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday



















          2












          $begingroup$

          It could be




          Binary strings that have 1s where 'evil numbers' occur, 0s elsewhere and every term ends >!with the n-th evil number index (counting with 0 = first).




          Source-OEIS






          share|improve this answer









          $endgroup$









          • 2




            $begingroup$
            Note for the curious: this is in fact equivalent to JonMark Perry's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday



















          -1












          $begingroup$

          It could be:




          Morse code with a 1 as a dot, a 11 as a dash, 0 as a gap between dots and dashes, and 00 as gap between letters.




          In which case:




          The message becomes "EANRE". Not sure if this is if any note...







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Curiously, Morse is relevant here, but not that Morse.
            $endgroup$
            – Gareth McCaughan♦
            yesterday











          Your Answer





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          3 Answers
          3






          active

          oldest

          votes








          3 Answers
          3






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          10












          $begingroup$

          Is it:




          The (opposite of the) Thue-Morse sequence.


          Start with $1 to 10 to 1001 to 10010110 to 1001011001101001$, where at each step the opposite of what is already there is added.







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Note for the curious: this is in fact equivalent to gopal's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday
















          10












          $begingroup$

          Is it:




          The (opposite of the) Thue-Morse sequence.


          Start with $1 to 10 to 1001 to 10010110 to 1001011001101001$, where at each step the opposite of what is already there is added.







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Note for the curious: this is in fact equivalent to gopal's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday














          10












          10








          10





          $begingroup$

          Is it:




          The (opposite of the) Thue-Morse sequence.


          Start with $1 to 10 to 1001 to 10010110 to 1001011001101001$, where at each step the opposite of what is already there is added.







          share|improve this answer









          $endgroup$



          Is it:




          The (opposite of the) Thue-Morse sequence.


          Start with $1 to 10 to 1001 to 10010110 to 1001011001101001$, where at each step the opposite of what is already there is added.








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered yesterday









          JonMark PerryJonMark Perry

          19.9k64096




          19.9k64096








          • 1




            $begingroup$
            Note for the curious: this is in fact equivalent to gopal's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday














          • 1




            $begingroup$
            Note for the curious: this is in fact equivalent to gopal's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday








          1




          1




          $begingroup$
          Note for the curious: this is in fact equivalent to gopal's answer.
          $endgroup$
          – Gareth McCaughan♦
          yesterday




          $begingroup$
          Note for the curious: this is in fact equivalent to gopal's answer.
          $endgroup$
          – Gareth McCaughan♦
          yesterday











          2












          $begingroup$

          It could be




          Binary strings that have 1s where 'evil numbers' occur, 0s elsewhere and every term ends >!with the n-th evil number index (counting with 0 = first).




          Source-OEIS






          share|improve this answer









          $endgroup$









          • 2




            $begingroup$
            Note for the curious: this is in fact equivalent to JonMark Perry's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday
















          2












          $begingroup$

          It could be




          Binary strings that have 1s where 'evil numbers' occur, 0s elsewhere and every term ends >!with the n-th evil number index (counting with 0 = first).




          Source-OEIS






          share|improve this answer









          $endgroup$









          • 2




            $begingroup$
            Note for the curious: this is in fact equivalent to JonMark Perry's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday














          2












          2








          2





          $begingroup$

          It could be




          Binary strings that have 1s where 'evil numbers' occur, 0s elsewhere and every term ends >!with the n-th evil number index (counting with 0 = first).




          Source-OEIS






          share|improve this answer









          $endgroup$



          It could be




          Binary strings that have 1s where 'evil numbers' occur, 0s elsewhere and every term ends >!with the n-th evil number index (counting with 0 = first).




          Source-OEIS







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered yesterday









          gopalgopal

          1363




          1363








          • 2




            $begingroup$
            Note for the curious: this is in fact equivalent to JonMark Perry's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday














          • 2




            $begingroup$
            Note for the curious: this is in fact equivalent to JonMark Perry's answer.
            $endgroup$
            – Gareth McCaughan♦
            yesterday








          2




          2




          $begingroup$
          Note for the curious: this is in fact equivalent to JonMark Perry's answer.
          $endgroup$
          – Gareth McCaughan♦
          yesterday




          $begingroup$
          Note for the curious: this is in fact equivalent to JonMark Perry's answer.
          $endgroup$
          – Gareth McCaughan♦
          yesterday











          -1












          $begingroup$

          It could be:




          Morse code with a 1 as a dot, a 11 as a dash, 0 as a gap between dots and dashes, and 00 as gap between letters.




          In which case:




          The message becomes "EANRE". Not sure if this is if any note...







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Curiously, Morse is relevant here, but not that Morse.
            $endgroup$
            – Gareth McCaughan♦
            yesterday
















          -1












          $begingroup$

          It could be:




          Morse code with a 1 as a dot, a 11 as a dash, 0 as a gap between dots and dashes, and 00 as gap between letters.




          In which case:




          The message becomes "EANRE". Not sure if this is if any note...







          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Curiously, Morse is relevant here, but not that Morse.
            $endgroup$
            – Gareth McCaughan♦
            yesterday














          -1












          -1








          -1





          $begingroup$

          It could be:




          Morse code with a 1 as a dot, a 11 as a dash, 0 as a gap between dots and dashes, and 00 as gap between letters.




          In which case:




          The message becomes "EANRE". Not sure if this is if any note...







          share|improve this answer









          $endgroup$



          It could be:




          Morse code with a 1 as a dot, a 11 as a dash, 0 as a gap between dots and dashes, and 00 as gap between letters.




          In which case:




          The message becomes "EANRE". Not sure if this is if any note...








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered yesterday









          AHKieranAHKieran

          5,4261143




          5,4261143








          • 1




            $begingroup$
            Curiously, Morse is relevant here, but not that Morse.
            $endgroup$
            – Gareth McCaughan♦
            yesterday














          • 1




            $begingroup$
            Curiously, Morse is relevant here, but not that Morse.
            $endgroup$
            – Gareth McCaughan♦
            yesterday








          1




          1




          $begingroup$
          Curiously, Morse is relevant here, but not that Morse.
          $endgroup$
          – Gareth McCaughan♦
          yesterday




          $begingroup$
          Curiously, Morse is relevant here, but not that Morse.
          $endgroup$
          – Gareth McCaughan♦
          yesterday










          Suresh is a new contributor. Be nice, and check out our Code of Conduct.










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