8 Mr. C. W. Merrifield. Sums of the Series of the [Nov. 17, 



Table of the Sums of the Powers of the Reciprocals of the Natural 

 Numbers, S(oo )~ n , to 16 Decimal Figures, from Legendre. 



n. 





S(oo)-» 









f loo* for 



_L 

 T 









1 "57721 



56649 



01532 



9 



2 



1 -64493 



40668 



48226 



4 



3 



1 "20205 



69031 



59594 



3 



4 



1 '08232 



32337 



11138 



2 



5 



1 '03t>92 



77551 



43370 



o 



6 



1 -01734 



30619 



84449 



1 



7 



1 -00834 



92773 



81922 



7 



8 



1 -00407 



73561 



97944 



3 



9 



i -oo?oo 



83928 



26082 



2 



10 



1 -00099 



45751 



27818 







11 



1 -00049 



41 886 



04119 



4 



12 



1 '00024 



60865 



53308 



o 



13 



1 -00012 



27133 



47578 



5 



14 



] -00006 



12481 



35058 



7 



15 



1 -00003 



05882 



36307 



o 



16 



1 -ooooi 



52822 



59408 





17 



1 -ooooo 



76371 



97637 



9 



18 



1 -ooooo 



38172 



93265 



o 



19 



i -ooooo 



19082 



12716 



5 



20 



1 -ooooo 



09539 



62033 



Q 



21 



1 -ooooo 



04769 



32986 



8 



22 



1 -ooooo 



02884 



50502 



( 



23 



i -ooooo 



01192 



19926 



o 



24 



1 -ooooo 



00596 



08189 



1 



25 



1 -ooooo 



00298 



03503 



K 

 o 



26 



1 -ooooo 



00149 



01 554 



Q 

 o 



27 



1 -ooooo 



00074 



5071 1 



Q 

 o 



28 



i -ooooo 



00037 



25334 







29 



i -ooooo 



00018 



62659 



7 



30 



i -ooooo 



00009 



31327 



4 



31 



i -ooooo 



00004 



65662 



9 



32 



1-00000 



00002 



32831 



2 



33 



i -ooooo 



00001 



16415 



5 



34 



i -ooooo 



ooooo 



58207 



7 



35 . 



i -ooooo 



ooooo 



29103 



8 



