i want to write a code for lumped vortex model for unsteady flow,

for t=1:10;
    hm=0.5*sin((t));
    alp=(0.5)*cos(t);
    a=[1/(2*pi*(0.75-0.25)); 1];
    b=[1/(2*pi*(0.75-10)) ; 1];
    A=[a b];

      B=[sin(alp)+M;0];
      X=linsolve(A,B);    
  end

At t=1, M=0

 For t>1, M depends on the values of X(2) at previous timesteps, 
for example: 

 at t=2 M=(X(2) at t=1)/(2*pi*(1+1))
at t=3 M=(X(2) at t=2)/(2*pi*(1+1)) + (X(2) at t=1)/(2*pi*(1+2))
at t=4 M=(X(2) at t=3)/(2*pi*(1+1)) + (X(2) at t=2)/(2*pi*(1+2))+
                                                    (X(2) at t=1)/(2*pi*(1+3))
where X(2) is the 2nd element of the solutions from X=linsolve(A,B);

how can i do that by using a loop

[Image Analyst]

I don't understand your list in your example.