A225847 Decimal expansion of sum_{n>=1} 1/(n*binomial(4*n,n)).

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

Offset

0,1

Comments

Equals Integral_{x>0}((3*x)/((1 + x)*(1 + 3*x + 6*x^2 + 4*x^3 + x^4))).

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.

N. Batir, A. Sofo, On some series involving reciprocals of binomial coefficients, Appl. Math. Comp. 220 (2013) 331-338, Example 7.

Example

0.269523929027742017317181647486329302840849825343266309815843772918628369827...

Mathematica

(1/4)*HypergeometricPFQ[{1, 1, 4/3, 5/3}, {5/4, 3/2, 7/4}, 27/256] // RealDigits[#, 10, 105]& // First

Crossrefs

Cf. A073010, A210453.

Sequence in context: A170821 A096667 A265989 * A021375 A190407 A057052

Adjacent sequences: A225844 A225845 A225846 * A225848 A225849 A225850

Keyword

nonn,cons

Author

Jean-François Alcover, May 17 2013

Status

approved