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Found problems: 1

2019 India PRMO, 13
Tags: number theory , oeis
Consider the sequence $$1,7,8,49,50,56,57,343\ldots$$ which consists of sums of distinct powers of$7$, that is, $7^0$, $7^1$, $7^0+7^1$, $7^2$,$\ldots$ in increasing order. At what position will $16856$ occur in this sequence?