Problem 51813. Sum the elements in rows of the Levine triangle

Created by ChrisR

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The Levine triangle starts as follows:
Row 0:      2
Row 1:     1 1
Row 2:     1 2
Row 3:    1 1 2
To construct each row, read the previous from the right. Row 0 tells us to put two 1s in row 1. Row 1 tells us to put one 1 and one 2 in row 2. Row 2 tells us to put two 1s and one 2 in row 3. Et cetera.
Write a function that computes the sum of the elements in the nth row of the Levine triangle and reports the sum as a string. Codes that can handle the optional tests will earn ten (10) Chris R. Appreciation Points.  

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Last Solution submitted on Jan 14, 2026

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William on 23 May 2021

I submitted one solution, and it did return the sum as a string, but complained of insufficient memory. Because of the order of operations, it was creating the n=12 array while evaluating n=11, and that array was apparently too large for Cody. Fixed now, but it is apparently going to be a problem for n=12 and above.

ChrisR on 24 May 2021

My code choked on n = 12 on my laptop. That was the motivation for the three optional tests, as well as for one of the tags.

Tim on 14 Jun 2021

Disallowing 'if' seems to disallow 'circshift' also, which I assume was not your intent.

ChrisR on 15 Jun 2021

Correct. I changed the test to look for 'if '.

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Problem 51813. Sum the elements in rows of the Levine triangle

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Problem 51813. Sum the elements in rows of the Levine triangle

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Last 200 Solutions

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Problem Recent Solvers14

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