Help with Padovan Sequence

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jacob Mitch
jacob Mitch 2019-10-1
评论： David K. 2019-10-1
I have a question that says
P(0)=P(1)=P(2)=1 , P(n)=P(n-2)+P(n-3)
use for loops to get a script for p(n)
I have written
function y=padovan(n)
P(1)=1; P(2)=1; P(3)=1;
for v=4:n
P(v)=P(v-2)+P(v-3);
end
y=P(n);
As you can see I have had to started at P(1)=P(2)=P(3)=1 instead of P(0)=P(1)=P(2)=1 as I get an error when trying to define P(0)=1, how would I change my script to include and start at P(0) instead of P(1) as I have done.

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David K.
David K. 2019-10-1
You cannot start at P(0) because matlab does not let you index at 0. However, you can make it so that it works as expected. Everywhere that you have n, replace it with n+1.
  2 个评论
jacob Mitch
jacob Mitch 2019-10-1
Thanks david the script works as intended with n+1, however, I dont understand why P(0) would be included in the question and its relevancy.
David K.
David K. 2019-10-1
I expect that is because it is part of the definition of the Padovan Sequence. Padovan of 0 still needs to be 1 even if matlab cannot nicely index at 0.

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