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 A225847 Decimal expansion of sum_{n>=1} 1/(n*binomial(4*n,n)). 1
 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 (list; constant; graph; refs; listen; history; text; internal format)
 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 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

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Last modified June 18 13:35 EDT 2021. Contains 345112 sequences. (Running on oeis4.)