Problem 2340. Numbers spiral diagonals (Part 1)
Inspired by Project Euler n°28 et 58.
A n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.
For exemple with n=5, the spiral matrix is :
21 22 23 24 25
20 7 8 9 10
19 6 1 2 11
18 5 4 3 12
17 16 15 14 13In this example, the sum of the numbers on the diagonals is 101.
What is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?
HINTS: You want the diagonals, not the whole matrix.
Solution Stats
Problem Comments
-
1 Comment
Good math problem / Sequences and Series. This problem can be solved as a polynomial
Solution Comments
Show commentsProblem Recent Solvers218
Suggested Problems
-
1302 Solvers
-
Permute diagonal and antidiagonal
481 Solvers
-
Create an n-by-n null matrix and fill with ones certain positions
667 Solvers
-
Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
838 Solvers
-
Matrix multiplication across rows
365 Solvers
More from this Author43
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!