for recursive formula index value

I was coding the formual

The summation runs for l=0 to k

I write the following code :

syms x

syms a

T=zeros(1,10,'sym')

T(1)=a;

T(2)=0;

for k=2:10

if k==2

A=1

for i=1:k

T(k+2-i)=(-A-(k+2-i)*(k+1-i)*T(k+2-i))/((k-i+1)*(k-i+2));

end

else

A=0

end

end

disp(T)

Here my code is: Now I have asumr T(2) as 0 but when it display T it is showing 2.

Answer 1

[Prince Kumar]

From my understanding T(2) is getting updated after running the program but you have assumed T(2) to be 2 at the staring of the program.This might be because in this line

for i=1:k
    T(k+2-i)=(-A-(k+2-i)*(k+1-i)*T(k+2-i))/((k-i+1)*(k-i+2));
end

you are changing T(2) for i=2 and k=2.

Hence T(2) is getting updated from 0 to some other value.