A248759 Decimal expansion of sum_{n>=1} n!/(3n)!.
1, 6, 9, 4, 6, 1, 0, 2, 9, 0, 3, 2, 0, 7, 4, 1, 2, 8, 6, 4, 6, 9, 2, 6, 7, 0, 5, 2, 9, 8, 9, 9, 6, 3, 3, 3, 1, 6, 9, 7, 1, 2, 4, 2, 9, 9, 3, 7, 7, 4, 0, 8, 0, 0, 4, 2, 0, 5, 5, 4, 0, 2, 5, 1, 0, 0, 6, 3, 6, 1, 1, 8, 6, 6, 1, 1, 6, 0, 3, 2, 1, 4, 0, 2, 9, 9
Offset: 0
Examples
0.1694610290320741286469267052989963331697124299377408004205540251006361...
Programs
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Maple
evalf(sum(n!/(3*n)!, n=1..infinity),120) # Vaclav Kotesovec, Oct 15 2014
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Mathematica
u = N[Sum[n!/(3 n)!, {n, 1, 200}], 120] RealDigits[u] (* A248759 *) N[HypergeometricPFQ[{1}, {4/3, 5/3}, 1/27]/6,120] (* Vaclav Kotesovec, Oct 15 2014 *)
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PARI
suminf(n=1, n!/(3*n)!) \\ Michel Marcus, Oct 15 2014