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Home » \frac280715 = \frac56143 - Tacotoon

\frac280715 = \frac56143 - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Let $ a_n $ be the number of valid colorings of $ n $ planets with no two adjacent Jupiter-like planets.

📌 This satisfies the Fibonacci recurrence:

📌 a_n = a_{n-1} + a_{n-2},

📌 with $ a_1 = 2 $ (E, J), $ a_2 = 3 $ (EE, EJ, JE) — JJ is invalid.

📌 $ a_1 = 2 $

📌 $ a_2 = 3 $

📌 $ a_3 = a_2 + a_1 = 3 + 2 = 5 $

📌 $ a_4 = a_3 + a_2 = 5 + 3 = 8 $

🔥 Popular Posts

A rectangular prism has dimensions 5 cm by 8 cm by 10 cm. Calculate th...
The volume \(V\) is calculated by multiplying the dimensions:
\[ V = 5 \times 8 \times 10 = 400 \, \text{cm}^3 \]
The surface area \(SA\) is calculated by:
\[ SA = 2(5 \times 8 + 5 \times 10 + 8 \times 10) = 2(40 + 50 + 80) =...
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A quadratic equation \(x^2 - 5x + 6 = 0\) is given. Find the roots usi...
The equation factors to:
\[ x - 2 = 0 \implies x = 2 \]
\[ x - 3 = 0 \implies x = 3 \]

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