Do generalized Fibonacci sequences with n preceding terms occur in nature?

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While a Fibonacci sequence is the sum of the previous two terms, what of sums of the preceeding n terms, and have such sequences (n > 2) been found to occur in the natural world?
 
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Lots of info online

Lots of info online. Fibonacci sequence http://en.wikipedia.org/wiki/Fibonacci_number"
 
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ktoz said:
Lots of info online. Fibonacci sequence http://en.wikipedia.org/wiki/Fibonacci_number"
Thank you for the references.
 
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