Problem 59871. List the segmented numbers

Created by ChrisR

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The sequence of segmented numbers begins 1, 2, 4, 5, 8, 10, 14, 15, 16. Notice that none of the terms is the sum of consecutive previous terms. The number 3 is not in the sequence between it is 1+2; 11 is not in the sequence because it is 2+4+5, and 12 is not in the sequence because it is 1+2+4+5. 
Write a function that returns the nth segmented number.
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I now realize that this problem is similar to Cody Problem 42832 by HH. That one involves restrictions on the number of terms in the sum, whereas this one asks for larger values of n. 

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Christian Schröder on 13 Apr 2024

Based on your problem description, I would have expected the sixth segmented number to be 10, since given the terms [1, 2, 4, 5, 8], no sum of consecutive terms is equal to 10. What am I missing?

ChrisR on 13 Apr 2024

My mistake. Thanks for pointing it out.

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Problem 59871. List the segmented numbers

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Problem 59871. List the segmented numbers

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Last 200 Solutions

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Problem Recent Solvers5

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