Kempner Series

Kempner series is a slightly depleted harmonic series. It is denoted as K0 or K1 . K0 is expressed by omitting all the terms whose denominator is expressed in decimal system, containing the digit zero. K0 is expressed by omitting all the terms whose denominator contains the digit one. Sum of the series is less than eighty.
Kempner series (0) can be given as 1/1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/11+1/12+.......+1/19+1/21+.....1/29+1/31+.....
Kempner series (1) can be given as K1=1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/(20)+1/(22)+1/(23)+....

Constant Name

Kempner Serie(0)

Symbol : K0

Value : 23.10344 79094 20541 6160

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