Problem 58946. Count block fountains

Created by ChrisR
Appears in Electrical Engineering Problems - Part 1

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A block fountain consists of rows of circles in which each row is a continuous block of circles (i.e., adjacent circles are tangent) and each circle in a row above the first touches exactly two circles on the previous row. 
Write a function to compute the number of block fountains with n circles on the first row. For example, there are five block fountains with three circles on the first row. 

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Last Solution submitted on Jul 16, 2024

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William on 3 Sep 2023

I believe there is an error in test 9. The last digit should be 3 rather than 5.

ChrisR on 3 Sep 2023

Yes, you're right. I double-counted two of the configurations. ;-)

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Problem 58946. Count block fountains

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Last 200 Solutions

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Problem 58946. Count block fountains

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers6

Suggested Problems

More from this Author291

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Community Treasure Hunt

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