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==Values==
The Fabius function is constant zero for all non-positive arguments, and assumes rational values at positive [[dyadic rational]] arguments. For example:
* <math>F(1)=1</math>
* <math>F(\tfrac1{2}) =\tfrac{1}{2}</math>
* <math>F(\tfrac1{4}) =\tfrac{5}{72}</math>
* <math>F(\tfrac1{8}) =\tfrac{1}{288}</math>
* <math>F(\tfrac1{16}) =\tfrac{143}{2073600}</math>
* <math>F(\tfrac1{32}) =\tfrac{19}{33177600}</math>
* <math>F(\tfrac1{64}) =\tfrac{1153}{561842749440}</math>
* <math>F(\tfrac1{128}) =\tfrac{583}{179789679820800}</math>
with the numerators listed in {{OEIS2C|A272755}} and denominators in {{OEIS2C|A272757}}.
==References==
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