Consider the sequence 1, 7, 8, 49, 50, 56, 57, 343, ... which consists of sums of distinct powers of 7, that is, 7⁰, 7¹, 7⁰+7¹, 7², ... in increasing order. At what position will 16856 occur in this sequence?

It seems easier to first convert 16856 to base 7.

Posted by Steve Herman on 2024-08-20 12:41:12