Help with Padovan Sequence

Question

jacob Mitch 2019-10-1

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/483058-help-with-padovan-sequence

评论： David K. 2019-10-1

采纳的回答： David K.

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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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Answer 1

David K. 2019-10-1

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https://ww2.mathworks.cn/matlabcentral/answers/483058-help-with-padovan-sequence#answer_394305

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.

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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. 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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