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Omni-MATH / A 4×4 window is made out of 16 square windowpanes. How many ways are there to stain each of the windowpanes, red, pink, or magenta, such that each windowpane is the same color as e…

Problem

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problem

A 4×44 \times 4 window is made out of 16 square windowpanes. How many ways are there to stain each of the windowpanes, red, pink, or magenta, such that each windowpane is the same color as exactly two of its neighbors?
Plain-text mathematical notation (without MathML)
A 4×4 window is made out of 16 square windowpanes. How many ways are there to stain each of the windowpanes, red, pink, or magenta, such that each windowpane is the same color as exactly two of its neighbors?
Original LaTeX notation
A $4 \times 4$ window is made out of 16 square windowpanes. How many ways are there to stain each of the windowpanes, red, pink, or magenta, such that each windowpane is the same color as exactly two of its neighbors?

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Source and history

task_id
444fff27-1847-505c-bc10-0531914fdf27
task_key
test--444fff27-1847-505c-bc10-0531914fdf27
task_revision_id
1
config / split
/ test

Official source

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