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

Created by ChrisR

Solve Later

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. 

Solve

Solution Stats

8 Solutions
5 Solvers

Last Solution submitted on Mar 27, 2024

Last 200 Solutions

Problem Comments

2 Comments

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

Solution Comments

Show comments

Problem Recent Solvers5

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

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 Author321

Problem Tags

Community Treasure Hunt

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 Author321

Problem Tags

Community Treasure Hunt

Players