Uguisudani Math Mystery Cache
-
Difficulty:
-
-
Terrain:
-
Size: 
(micro)
Please note Use of geocaching.com services is subject to the terms and conditions
in our disclaimer.
Math puzzle micro near JR Uguisudani Station.
Fibonacci numbers are seen in nature, known as golden ratio.
Please calculate the coordinate of the real cache by using a slight math.
Link:Wikipedia>Fibonacci number
Link:Wikipedia>Fibonacci number(Japanese)
The definition of Fibonacci numbers is shown below.
F(0) = 0, F(1) = 1
F(n+2) = F(n) + F(n+1) (n >=0)
For example, the following numbers are shown below.
F(2) = 1, F(3) = 2, F(4) = 3, ....
Let's extend this definition.
I added superscript number shown below.
F(m)(0) = ... = F(m)(m-2) = 0, F(m)(m-1) = 1
F(m)(n+m) = F(m)(n) + F(m)(n+1) + ... + F(m)(n+m-1)
So, when m is equal to 2, F(2)(n) is "usual" Fibonacci sequence.
The real cache is located following coordinates.
N 35° 43.(F(2)(12) + F(3)(12) + 1)
E 139° 46.(F(6)(15) + F(5)(11))
The cache container is a card case. Bring your own writing. Additionally, please avoid putting in any Geocoin in the cache.
You can check your answers for this puzzle on Geochecker.com.
Additional Hints
(No hints available.)