Problem 59242. Construct numbers from antidiagonals of stacks of binary numbers

Created by ChrisR

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A sequence is constructed in the following way: Express the numbers 1, 2, 3, 4, 5,… in binary and stack them, right-justified. Then read the numbers in upward sloping diagonals and convert to decimal. The first four binary numbers are 11, 110, 101, 100, and their decimal equivalents are 3, 6, 5, 4. 
0 0 1
0 1 0 
0 1 1 
1 0 0
1 0 1
1 1 0 
Write a function to compute the nth term in the sequence. 

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Last Solution submitted on Mar 27, 2024

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2 Comments

ChrisR on 29 Nov 2023

Four solutions so far, and they are all different. Interesting.

Kirillus on 27 Mar 2024

now they are 5 solution yet they are different

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Problem 59242. Construct numbers from antidiagonals of stacks of binary numbers

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Last 200 Solutions

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Problem Recent Solvers5

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Problem 59242. Construct numbers from antidiagonals of stacks of binary numbers

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers5

Suggested Problems

More from this Author310

Problem Tags

Community Treasure Hunt

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