,catalan's ,con/ant ,ramanujan's ,=mula 
,catalan con/ant to #cjjjjj digits      
comput$ on ,septemb] #bi1 #aiif by us+ a
 ,sun ,ultra-,sp>c 9 #a day #h h\r #ae  
m9 #ae sec #ee hsec4 ,! algori?m us$ is 
! /&>d s]ies = ,catalan1 accel]at$ by an
 ,eul] trans=m4 ,! algori?m 0 implem5t$ 
us+ ! ,li,d,i,a libr>y = computational  
numb] !ory & x is "p ( ! multiprecision 
float+-po9t ari?metic ( ! package4      
,li,d,i,a is available f                
ftp3_/_/crypt#a4;cs4uni-sb4de_/pub_/sy/e
ms_/,li,d,i,a_/,li,d,i,a-#a4b4a4tgz     
http3_/_/www-jb4cs4uni-sb4de_/,li,d,i,a_
/l9khtml_/lidia_/lidia4html  ,!         
implem5tation ( ! algori?m is3    inl9e 
void   con/catalan 7bigfloat  y7        
bigfloat p2     bigfloat t2     int i   
#a1 j  #c2 _/_/ j  #b99;i#a      _/_/ y 
t  p  #a_/b     divide 7y1 #a1 #b72     
t4assign 7y72     p4assign 7y72         
_/_/ :ile t is great] ?an ! desir$      
accuracy     :ile 76t4isapproxz]o 777   
_/_/ d         _/_/     p  p 99 7i_/j72 
_/_/     t  7t 99 i  p7 _/ j2           

_/_/     y  y  t2         _/_/     i2   
j#b2         multiply 7p1 p1 i72        
divide 7p1 p1 j72         multiply 7t1  
t1 i72         add 7t1 t1 p72           
divide 7t1 t1 j72         add 7y1 y1 t72
         i2         j  #b2           ,"h
 is ! output ( ! program3  ,calculat+   
,catalan's con/ant to #cjjjjj decimals  
,"t requir$3 #a day #h h\r #ae m9 #ae   
sec #ee hsec                            
----------------------------------------
----------------------------------      
,additional ,,ref]5ces3  ,catalan       
con/ant is3                             
sum77-#a799997n#a7_/7b99n-#a79999b1n#a44
;inf9ity7 also kn[n "u ! "n beta7#b71   
see 8catalan 9 ,maple = m details4  ,!  
previ\s record 0 #bjjjjj digits1 also f 
,?omas ,papanikola\ & be=e t3 #ajjjjj   
digits 0 due to ,greg ,fee & ,simon     
,pl\ffe on ,augu/ #ad1 #aiif1 by us+ a  
,,sgi r#ajjjj ,p[] ,*all5ge ) #aid ,mhz 
9 #e4fc h\rs & ! /&>d implem5tation (   
,catalan on ,maple,v1 ,release #d4 7:i* 
uses ,greg's idea74  ,eul] ,tran=m3     

,ref]5ces1 ,abram[itz & ,/egun1 =mula   
#c4f4bg page #af 9 ,h&book ( ,ma!matical
 ,functions & ,tables1 ,dov] #aifd4     
,ramanujan ,notebooks1 "p ,i =mula #cd4a
 ( page #bic4  ,! s]ies us$ is by putt+ 
x-- -#a_/b 4  ,9 o!r words ! =mula us$  
is3 ! ord9>y =mula = ,catalan           
sum77-#a799997n#a7_/7b99n#a79999b1n#j44;
inf9ity7  & !n y apply ! ,eul] ,trans=m 
to x4  ,computation ( ,catalan's con/ant
 us+ ,ramanujan's ,=mula1 by ,greg ,fee1
 ,,acm #aiij1 ,proce$+s ( ! ,,isaac     
conf]5ce1 #aiij1 p4 #aeg4    ,catalan   
con/ant to #cjjjjj digits               
----------------------------------------
--------------------------------        
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feifgggfbgidfdaedahjcebegcdjeacfcdheecb 

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