Question

A line of buckets numbered 0, 1, 2…..extends infinitely to the left with an elephant behind
each bucket. Initially, all of the buckets are empty but then peanuts start falling into bucket
0 at a rate of one per second for 2^12 seconds. Whenever five peanuts accumulate in a bucket
the elephant behind that bucket picks up all five, eats four, and places the remaining one in
the bucket immediately to the left. When there are no more peanuts to be eaten, how many
peanuts remain in each bucket?

Answer 1

I suggest starting with for example 5 buckets, and see what happens with 20 peanuts total, and work your way up.

Answer 2

Where did 20 come from?