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Sum_{k>=0} 1/(10k)!.
2

%I #22 Jul 19 2021 22:59:35

%S 1,0,0,0,0,0,0,2,7,5,5,7,3,1,9,2,2,4,0,2,6,9,9,3,8,2,8,7,9,0,4,4,1,2,

%T 4,9,5,6,9,4,3,3,4,4,0,3,3,2,3,6,7,5,7,4,7,6,8,0,5,9,7,5,0,7,1,5,2,4,

%U 6,5,1,2,7,5,6,5,3,3,5,1,4,6,1,5,0,6

%N Sum_{k>=0} 1/(10k)!.

%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a> (2011).

%e 1.000000275573192240269938287904412495694334403323675747680597507152465127565335...

%t HypergeometricPFQ[{}, Range[9]/10, 10^-10] // RealDigits[#, 10, 86]& // First (* _Jean-François Alcover_, Feb 13 2013 *)

%o (PARI) default(realprecision,99); suminf(k=0,1/(10*k)!)

%K nonn,cons,easy

%O 1,8

%A _M. F. Hasler_, Sep 08 2011