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Omni-MATH / Count the number of functions f:Z→{ 'green', 'blue' } such that f(x)=f(x+22) for all integers x and there does not exist an integer y with f(y)=f(y+2)= 'green'.

Problem

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problem

Count the number of functions f:Z→{f: \mathbb{Z} \rightarrow\{ 'green', 'blue' }\} such that f(x)=f(x+22)f(x)=f(x+22) for all integers xx and there does not exist an integer yy with f(y)=f(y+2)=f(y)=f(y+2)= 'green'.
Plain-text mathematical notation (without MathML)
Count the number of functions f:Z→{ 'green', 'blue' } such that f(x)=f(x+22) for all integers x and there does not exist an integer y with f(y)=f(y+2)= 'green'.
Original LaTeX notation
Count the number of functions $f: \mathbb{Z} \rightarrow\{$ 'green', 'blue' $\}$ such that $f(x)=f(x+22)$ for all integers $x$ and there does not exist an integer $y$ with $f(y)=f(y+2)=$ 'green'.

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Source and history

task_id
5ad2b5d4-1ea9-5810-b802-c80c0c1b6af6
task_key
test--5ad2b5d4-1ea9-5810-b802-c80c0c1b6af6
task_revision_id
1
config / split
/ test

Official source

initial import