Summation of vectors: use of sum function in loop

Say I have a a series %%(1/t)\sqrt{\sum_{k=1}^{s}(vector^t+vectortwo^t)^2}%% or (1/t)*sqrt of (sigma from t=1 to s) (vector^t+vectortwo^t)^3

Im tyring to do a summation of this but I'm not sure how i'm doing I have tried

vector=[1;2;3;4;5;6];
vectortwo=[1;3;4;5;6;8];
s=length(vector);
count=0;

for t=1:s
    Value=sum(vector.^t+vectortwo.^t).^3
    Newvalue=(1/t)*sqrt(Value);
       count=count+Value;
end

Have I made an error somewhere in for loop

Answer 1

[Shubham Gupta]

I think

Newvalue=(1/t)*sqrt(Value);

should be outside the for loop :

vector=[1;2;3;4;5;6];
vectortwo=[1;3;4;5;6;8];
s=length(vector);
total=zeros(size(vector)); % change the name of the count 
for t=1:s
    Value=(vector.^t+vectortwo.^t).^3
    total=total+Value;
end
NewValue = (1/s)*sqrt(total);  % Output is 6x1 vector

Also, your mentioned series seems to be mathematically incorrect, since 't' can never be out of the "sigma". So, my understanding is it should be 's' instead of 't'

[jacob Mitch]

yes sorry you are correct, it was a typo with s. Thank you so much

[Shubham Gupta]

Glad I could help, if it solved your question, please consider accepting the answer