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Omni-MATH / Let a₀,a₁,a₂,… be an increasing sequence of nonnegative integers such that every nonnegative integer can be expressed uniquely in the form a_(i)+2a_(j)+4a_(k), where i,j and k are …

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problem

Let a0,a1,a2,…a_{0},a_{1},a_{2},\ldots be an increasing sequence of nonnegative integers such that every nonnegative integer can be expressed uniquely in the form ai+2aj+4aka_{i}+2a_{j}+4a_{k}, where i,ji,j and kk are not necessarily distinct. Determine a1998a_{1998}.
Plain-text mathematical notation (without MathML)
Let a₀,a₁,a₂,… be an increasing sequence of nonnegative integers such that every nonnegative integer can be expressed uniquely in the form a_(i)+2a_(j)+4a_(k), where i,j and k are not necessarily distinct. Determine a₁₉₉₈.
Original LaTeX notation
Let $a_{0},a_{1},a_{2},\ldots $ be an increasing sequence of nonnegative integers such that every nonnegative integer can be expressed uniquely in the form $a_{i}+2a_{j}+4a_{k}$, where $i,j$ and $k$ are not necessarily distinct. Determine $a_{1998}$.

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Source and history

task_id
22932731-a6c9-5ac0-95d6-b0d3b9338d32
task_key
test--22932731-a6c9-5ac0-95d6-b0d3b9338d32
task_revision_id
1
config / split
/ test

Official source

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