recursive functions question 5 Consider the set Sn of binary strings whose length is n and for which 010 does not appear as a consecutive substring For example, So f , Si 0,1 , S2 00, 01, 10, 11 , S3 000,001, 02,011, 100, 101, 110, 111 S4 0000, 0001, DOLO, 0011, 0100, 0181, 0110,0111, 1000, 1001, 1020, 1011, 1100, 1101, 1110, 1111 a Argue that, for n 3, Sol S11 3S 6l 2 (1) b Write a program to compute Sn for n 0, , 20 and look up the resulting sequence in the Online Encyclopedia of Integer Sequences What did you find 5 Consider the set Sn of binary strings whose length is n and for which 010 does not appear as a consecutive substring For example, So f , Si 0,1 , S2 00, 01, 10, 11 , S3 000,001, 02,011, 100, 101, 110, 111 S4 0000, 0001, DOLO, 0011, 0100, 0181, 0110,0111, 1000, 1001, 1020, 1011, 1100, 1101, 1110, 1111 a Argue that, for n 3, Sol S11 3S 6l 2 (1) b Write a program to compute Sn for n 0, , 20 and look up the resulting sequence in the Online Encyclopedia of Integer Sequences What did you find

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recursive functions question 5  Consider the set Sn of binary strings whose length is n and for which 010 does not appear as a consecutive substring  For example, So    f , Si    0,1 , S2    00, 01, 10, 11 , S3    000,001, 02,011, 100, 101, 110, 111  S4    0000, 0001, DOLO, 0011, 0100, 0181, 0110,0111, 1000, 1001, 1020, 1011, 1100, 1101, 1110, 1111  a  Argue that, for n  3, Sol    S11   3S 6l  2  (1) b  Write a program to compute Sn for n  0,   , 20 and look up the resulting sequence in the Online Encyclopedia of Integer Sequences  What did you find  5  Consider the set Sn of binary strings whose length is n and for which 010 does not appear as a consecutive substring  For example, So    f , Si    0,1 , S2    00, 01, 10, 11 , S3    000,001, 02,011, 100, 101, 110, 111  S4    0000, 0001, DOLO, 0011, 0100, 0181, 0110,0111, 1000, 1001, 1020, 1011, 1100, 1101, 1110, 1111  a  Argue that, for n  3, Sol    S11   3S 6l  2  (1) b  Write a program to compute Sn for n  0,   , 20 and look up the resulting sequence in the Online Encyclopedia of Integer Sequences  What did you find

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recursive functions question 5. Consider the set Sn of binary strings whose length is n and for which 010 does not appear as a consecutive

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