[seqfan] Powers of Two in Base Three

Hans Havermann gladhobo at bell.net
Wed May 6 15:59:39 CEST 2020

After recently extending A305942, I was curious about the digit distribution of powers of two in other normal bases. By 'normal' I mean to exclude bases two, four, and eight, where I do not expect a roughly equidistribution of digits. In base three, unexpectedly, I noticed that a count of the digit 'one' (powers > 0) is always an even number. Why?

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