A248760 Decimal expansion of sum_{n >= 1} (2n)!/(3n)!.
3, 6, 8, 7, 3, 7, 8, 2, 0, 2, 9, 4, 6, 4, 9, 9, 0, 4, 0, 8, 9, 7, 7, 7, 2, 9, 6, 1, 6, 5, 7, 4, 0, 3, 4, 2, 0, 9, 8, 3, 7, 1, 9, 7, 8, 8, 1, 4, 6, 9, 8, 4, 9, 1, 0, 6, 8, 7, 8, 2, 5, 7, 4, 5, 8, 9, 0, 5, 9, 0, 1, 7, 3, 5, 7, 9, 6, 1, 9, 0, 0, 6, 7, 1, 5, 4
Offset: 0
Examples
0.368737820294649904089777296165740342098371978814698491068782574589059...
Programs
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Maple
evalf(sum((2n)!/(3n)!, n=1..infinity), 120); # Vaclav Kotesovec, Oct 19 2014
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Mathematica
u = N[Sum[(2 n)!/(3 n)!, {n, 1, 300}], 120] RealDigits[u] (* A248760 *) N[HypergeometricPFQ[{1, 3/2}, {4/3, 5/3}, 4/27]/3, 120] (* Vaclav Kotesovec, Nov 15 2020 *)
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PARI
suminf(n=1, (2*n)!/(3*n)!) \\ Michel Marcus, Oct 19 2014