Three representations of the extended series belonging to the PARODITES SEQUENCE.
using the polylogarithmic function
using the floor function/complex argument
You can get a Fibonacci like pattern with the convergents, eg. 118/157 is 115/153 plus 3/4, ; 587/781 is 469/624 plus 118/157
accumulating them, (the first three numbers here are always primes, by altering the value of log3 you can calculate really big primes, not sure why this pattern is there:
