Matrix with numerical sequence

Hi!

i am creating a matrix (n,m), which are the input values. the matrix needs to be like this:

[1 4 2 .... 4 2 4 1;
 4 16 8 ....16 8 16 4;
 2 8 4 ... 8 4 8 2;
....       .....;
4 16 8 ...16 8 16 4;
2 8 4 .... 8 4 8 2;
4 16 8 ....16 8 16 4;
1 4 2 .....4 2 4 1]

how do i code this in matlab?

[Birdman]

The pattern is not clear to me. Can you be more specific?

[marco lopes]

let me try to explain better, sry for bad english i got a matriz which is A= [1 4 1; 4 16 4; 1 4 1] and that matrix will add like this M =[1, 4, 1+1, 4, 1; 4, 16, 4+4, 16, 4 1+1, 4+4, 1*4', 4+4 1+1; 4, 16, 4+4, 16, 4 1, 4, 1+1, 4, 1], '=1+1+1+1 #which basicaly is the sum of the last column of A with the 1st of A, and the sum of the last line of A with the first line A;

*This repeated in a way i get a matriz with (i,j), always impar's.

*Resume: i want to know how to add A, in a a way that "A(m,n)+A(p,k)", gives, for example, a matriz that is (3,5) which adds the A(m,3) with A(p,1), and keeps the rest

#example 2: A(m,n)+A(p,k) gives a (7,5) that becomes

 [1    4    2    4    1; 4   16    8   16    4; 2    8    4    8   2; 4   16    8   16    4;
  2    8    4    8   2; 4   16    8   16    4;  1    4    2    4   1]

Answer 1

[Stephen23]

N = 7; % must be odd
M = ones(N)*16;
M(1:2:N,:) = 4;
M(2:2:N*N) = 8;
M(:,[1,N]) = M(:,[1,N])/2;
M([1,N],:) = M([1,N],:)/2;

giving:

M =
  1    4    2    4    2    4    1
  4   16    8   16    8   16    4
  2    8    4    8    4    8    2
  4   16    8   16    8   16    4
  2    8    4    8    4    8    2
  4   16    8   16    8   16    4
  1    4    2    4    2    4    1

[marco lopes]

let me try to explain better, sry for bad english i got a matriz which is

A = [1  4 1;
     4 16 4;
     1  4 1]

and that matrix will add like this

M =[1, 4, 1+1, 4, 1; 
    4, 16, 4+4, 16, 4
   1+1, 4+4, 1*4', 4+4 1+1;
     4, 16, 4+4, 16, 4
     1, 4, 1+1, 4, 1], '=1+1+1+1

which basicaly is the sum of the last column of A with the 1st of A, and the sum of the last line of A with the first line A;

This repeated in a way i get a matriz with (i,j), always impar's.

i want to know how to add A, in a a way that "A(m,n)+A(p,k)", gives, for example, a matriz that is (3,5) which adds the A(m,3) with A(p,1), and keeps the rest

example 2: A(m,n)+A(p,k) gives a (7,5) that becomes

[1    4    2    4    1;
 4   16    8   16    4;
 2    8    4    8    2;
 4   16    8   16    4;
 2    8    4    8    2;
 4   16    8   16    4;
 1    4    2    4    1]