Problem 3011. Self-similarity 2 - Every third term

Created by goc3

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Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. See the <a href = "https://oeis.org/selfsimilar.html">OEIS page</a> for more information.In this problem, you are to check if the sequence is self-similar by every third term. The problem set assumes that you start with the first element and then take every third element thereafter of the original sequence, and compare that result to the first third of the original sequence. The function should return true if the extracted sequence is equal to the first third of the original sequence.For example,<ul><li>seq_original_set = [0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 4]</li><li>seq_every_third = [0, , , 1, , , 2, , , 1, , , 2, , ,] (extra commas are instructional and should not be in the every-other series)</li><li>seq_orig_first_third = [0, 1, 2, 1, 2]</li></ul>Since seq_every_third = seq_orig_first_third, the set is self-similar.This problem is related to <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3010-self-similarity-1-every-other-term">Problem 3010</a> and <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3012-self-similarity-3-every-other-pair-of-terms">Problem 3012</a>.

Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. See the <https://oeis.org/selfsimilar.html OEIS page> for more information.

In this problem, you are to check if the sequence is self-similar by every third term. The problem set assumes that you start with the first element and then take every third element thereafter of the original sequence, and compare that result to the first third of the original sequence. The function should return true if the extracted sequence is equal to the first third of the original sequence.

For example,

* seq_original_set = [0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 4]
* seq_every_third = [0, , , 1, , , 2, , , 1, , , 2, , ,] (extra commas are instructional and should not be in the every-other series) 
* seq_orig_first_third = [0, 1, 2, 1, 2]

Since seq_every_third = seq_orig_first_third, the set is self-similar.

This problem is related to <https://www.mathworks.com/matlabcentral/cody/problems/3010-self-similarity-1-every-other-term Problem 3010> and <https://www.mathworks.com/matlabcentral/cody/problems/3012-self-similarity-3-every-other-pair-of-terms Problem 3012>.

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