Writing a Recursive Function
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I am having trouble writing a recursive function that calculates the value of N(i,p)
for example, to calculate N(0,2), I need the values of N(0,1) and N(1,1). Then each of those will need the values of the lower nodes in the tree as shown below. The value of any N(i,0)=1.
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Mathieu NOE
2022-3-11
hello
see below
Nb : matlab is not a zero based indexing language , so first index is 1 instead of 0
%% initialisation
n = 5;
N = zeros(n,n);
N(1,1:n) = 1; % (all N(i,0) = 1)
%% main loop
for p = 2:n
ind_i = 1:1+n-p; % index of i is function of p (it reduces as index p increases)
N(p,ind_i) = N(p-1,ind_i) + N(p-1,ind_i+1);
end
% display lines in reversed order
N = N(n:-1:1,:)
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Mathieu NOE
2022-3-11
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the results appears like this for n = 5
N =
16 0 0 0 0
8 8 0 0 0
4 4 4 0 0
2 2 2 2 0
1 1 1 1 1
the bottom line is the starting values (Ni,o = 1)
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