A225848 Decimal expansion of sum_{n>=1} 1/(n*binomial(5*n,n)).

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

Offset

0,1

Comments

Equals Integral_{x>0}((4*x)/((1 + x)*(1 + 4*x + 10*x^2 + 10*x^3 + 5*x^4 + x^5))).

References

George Boros and Victor H. Moll, Irresistible integrals, Cambridge University Press (2006), p. 60.

Links

Table of n, a(n) for n=0..104.

Example

0.211899379477988040620147684227922292577929674144068015360748567774676347301...

Mathematica

(1/5)*HypergeometricPFQ[{1, 1, 5/4, 3/2, 7/4}, {6/5, 7/5, 8/5, 9/5}, 256/3125] // RealDigits[#, 10, 105]& // First

Crossrefs

Cf. A073010, A210453.

Sequence in context: A129276 A156901 A167400 * A165889 A087127 A144946

Adjacent sequences: A225845 A225846 A225847 * A225849 A225850 A225851

Keyword

nonn,cons

Author

Jean-François Alcover, May 17 2013

Status

approved