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Omni-MATH / Determine the number of 2021-tuples of positive integers such that the number 3 is an element of the tuple and consecutive elements of the tuple differ by at most 1.

Problem

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problem

Determine the number of 20212021-tuples of positive integers such that the number 33 is an element of the tuple and consecutive elements of the tuple differ by at most 11.
Plain-text mathematical notation (without MathML)
Determine the number of 2021-tuples of positive integers such that the number 3 is an element of the tuple and consecutive elements of the tuple differ by at most 1.
Original LaTeX notation
Determine the number of $2021$-tuples of positive integers such that the number $3$ is an element of the tuple and consecutive elements of the tuple differ by at most $1$.

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