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 A247320 Decimal expansion of integral_{0..Pi} log(x)/x*log(1 + x)^2 dx, the second of two definite integrals studied by Rutledge and Douglas. 1
 1, 7, 5, 5, 7, 1, 3, 4, 3, 1, 3, 7, 3, 1, 0, 6, 0, 4, 0, 7, 3, 1, 8, 6, 5, 8, 9, 9, 9, 5, 5, 2, 3, 8, 6, 8, 4, 3, 0, 0, 4, 5, 4, 6, 4, 1, 3, 6, 9, 4, 2, 2, 3, 4, 9, 2, 4, 1, 6, 6, 9, 9, 7, 4, 9, 4, 4, 4, 4, 1, 1, 5, 2, 6, 0, 2, 1, 7, 0, 1, 5, 3, 3, 2, 3, 1, 4, 1, 8, 6, 5, 9, 4, 2, 0, 6, 2, 4, 3, 0, 6, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..103. G. E. Raynor, On Serret's integral formula, Bull. Amer. Math. Soc. Volume 45, Number 12, Part 1 (1939), 911-917 G. Rutledge, R. D. Douglass, Table of definite integrals, Am. Math. Monthly 45 (1938) 525 FORMULA A_4 - Pi^4/288, where A_4 is A214508. EXAMPLE -0.175571343137310604073186589995523868430045464136942234924... MATHEMATICA A4 = (13*Pi^4)/288 + (1/6)*Pi^2*Log[2]^2 - Log[2]^4/6 - 4* PolyLog[4, 1/2] - (7/2)*Log[2]*Zeta[3]; RealDigits[A4 - Pi^4/288, 10, 103] // First CROSSREFS Cf. A214508, A247319. Sequence in context: A158244 A226580 A182007 * A179294 A259679 A247876 Adjacent sequences: A247317 A247318 A247319 * A247321 A247322 A247323 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Sep 12 2014 STATUS approved

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Last modified December 7 10:56 EST 2023. Contains 367650 sequences. (Running on oeis4.)