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

0,1

Links

Table of n, a(n) for n=0..85.

Example

0.368737820294649904089777296165740342098371978814698491068782574589059...

Maple

evalf(sum((2n)!/(3n)!, n=1..infinity), 120); # Vaclav Kotesovec, Oct 19 2014

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 *)

Prog

(PARI) suminf(n=1, (2*n)!/(3*n)!) \\ Michel Marcus, Oct 19 2014

Crossrefs

Cf. A214869, A248696, A248759, A248761.

Sequence in context: A181165 A181906 A181915 * A011261 A371749 A104541

Adjacent sequences: A248757 A248758 A248759 * A248761 A248762 A248763

Keyword

nonn,easy,cons

Author

Clark Kimberling, Oct 13 2014

Status

approved