Problem 56428. Easy Sequences 79: Trailing Zeros of Fibonorial Numbers at any Base

The fibonorial of an integer n is defined as follows:
where: is the i-th Fibonacci number ( and for ).
In other words, the fibonorial of n, , is the product of all Fibonacci numbers from to .
Given an integer n and a number base b, write a function that calculates the number of trailing zeros of the fibonorial of n when written in base-b.
For example, for and , the function should return 2, because:
>> dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)
>> '13103120230200'
For and , the function should return 1.
>> dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)
>> '1C4CB080'
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Hint: As a practice, you may want to solve first, the previous problem: Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base.

Solution Stats

60.0% Correct | 40.0% Incorrect
Last Solution submitted on Dec 11, 2024

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