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Golden mean base

The Golden mean (φ) can be used as a number base. In it, all integers have representations of finite length. If you include the rule that you cannot have the digit sequence "11" within a numeral, each integer has a unique numeral. Examples:
DecimalPowers of φBase φ
1φ01
2φ1-210.01
3φ2-2100.01
4φ20-2101.01
5φ3-1-41000.1001
6φ31-41010.0001
7φ4-410000.0001
8φ40-410001.0001
9φ41-2-4 10010.0101

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