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Decimal expansion of HypergeometricPFQ[{1,1,1},{1/3,2/3},1/27].
1

%I #23 Apr 26 2024 12:36:32

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

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

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

%N Decimal expansion of HypergeometricPFQ[{1,1,1},{1/3,2/3},1/27].

%H Richard C. Schroeppel and Bill Gosper, <a href="https://web.archive.org/web/20240224184436/http://www.inwap.com/pdp10/hbaker/hakmem/series.html#item116">HACKMEM Item #116</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FactorialSums.html">Factorial Sums</a>

%F Equals Sum_{n>=0} (n!)^3/(3n)!.

%e 1.17840325...

%t RealDigits[ N[ HypergeometricPFQ[{1, 1, 1}, {1/3, 2/3}, 1/27], 102]][[1]] (* _Jean-François Alcover_, Oct 29 2012 *)

%K nonn,cons

%O 1,3

%A _Eric W. Weisstein_, Jan 28 2004

%E Link by _Charles R Greathouse IV_, Oct 26 2009