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Odd partition (Posted on 20190509) 

There are 3 ways to write 4 as a sum of odd numbers (assuming order matters and numbers can be repeated in the sum): 3+1, 1+3, and 1+1+1+1.
How many ways are there to write 19 as a sum of odd numbers?
Hint: The above result has something to do with Fibonacci numbers
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