# Computing nested summation

1. Jul 15, 2013

### omer21

$M_{K}=\frac{1}{2^{k+1}-2}\sum_{i=0}^{L-1}\sum_{l=1}^{K}\binom{K}{l}h_{i}i^{l}M_{K-l}$

$M_0=1$ and the size of $h_i$ is $L$.

I tried to compute this summation in matlab, my attempt is as following:
Code (Text):
clear
h=[ (1+sqrt(3))/4 (3+sqrt(3))/4 (3-sqrt(3))/4 (1-sqrt(3))/4]';
% for simplicity i take K=4 and L=4
K=4;
L=4;
k=1;
M=zeros(1,K+1);
M(1)=1;

for l=1:K
for i=1:L
for j=1:k
M(l+1)=M(l+1)+nchoosek(k,j)*h(i)*((i-1)^l)*M(l);
end
end
k=k+1;
M(l+1)=(1/(2^(K+1)-2))*M(l+1);
end
But i'm not sure whether the codes are correct or not. If the codes are not correct how can i fix them?

2. Jul 17, 2013

### omer21

problem is solved.