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A036462
Conjecturally, a power of 2 written in base 3 cannot have this many 0's.
Conjecture 1: Sequence A104320 never obtains the values in this sequence, so A104321(a(n)) is undefined. Conjecture 2: This sequence is infinite. - David W. Wilson, Oct 21 2016, edited by Antti Karttunen, Oct 29 2016