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 A258750 Decimal expansion of Ls_4(Pi), the value of the 4th basic generalized log-sine integral at Pi. 10
 5, 6, 6, 4, 5, 5, 9, 7, 0, 4, 2, 4, 4, 6, 1, 8, 3, 9, 0, 8, 0, 5, 2, 1, 3, 6, 8, 9, 8, 7, 8, 8, 1, 4, 2, 3, 2, 2, 5, 1, 8, 4, 5, 5, 5, 9, 1, 9, 4, 9, 7, 9, 9, 4, 6, 3, 7, 4, 4, 2, 9, 8, 6, 4, 3, 2, 6, 8, 3, 1, 9, 8, 2, 5, 3, 9, 7, 5, 0, 4, 9, 7, 6, 7, 8, 5, 1, 7, 6, 3, 3, 9, 9, 8, 9, 3, 8, 0, 5, 9, 8, 1, 8, 8, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Jonathan M. Borwein, Armin Straub, Special Values of Generalized Log-sine Integrals FORMULA -Integral_{0..Pi} log(2*sin(t/2))^3 dx = (3/2)*Pi*zeta(3). Also equals 3rd derivative of -Pi*binomial(x, x/2) at x=0. EXAMPLE 5.6645597042446183908052136898788142322518455591949799463744298643... MATHEMATICA RealDigits[(3/2)*Pi*Zeta[3], 10, 105] // First CROSSREFS Cf. A258749 (Ls_3(Pi)),  A258751 (Ls_5(Pi)), A258752 (Ls_6(Pi)), A258753 (Ls_7(Pi)), A258754 (Ls_8(Pi)). Sequence in context: A197494 A153415 A154010 * A217706 A064864 A004553 Adjacent sequences:  A258747 A258748 A258749 * A258751 A258752 A258753 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Jun 09 2015 STATUS approved

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Last modified August 20 06:04 EDT 2019. Contains 326139 sequences. (Running on oeis4.)