A091683 Decimal expansion of HypergeometricPFQ[{1,1,1},{1/3,2/3},1/27].
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, 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, 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
Offset: 1
Examples
1.17840325...
Links
- Richard C. Schroeppel and Bill Gosper, HACKMEM Item #116
- Eric Weisstein's World of Mathematics, Factorial Sums
Programs
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Mathematica
RealDigits[ N[ HypergeometricPFQ[{1, 1, 1}, {1/3, 2/3}, 1/27], 102]][[1]] (* Jean-François Alcover, Oct 29 2012 *)
Formula
Equals Sum_{n>=0} (n!)^3/(3n)!.
Extensions
Link by Charles R Greathouse IV, Oct 26 2009