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 A086054 Decimal expansion of Pi*log(2). 4
 2, 1, 7, 7, 5, 8, 6, 0, 9, 0, 3, 0, 3, 6, 0, 2, 1, 3, 0, 5, 0, 0, 6, 8, 8, 8, 9, 8, 2, 3, 7, 6, 1, 3, 9, 4, 7, 3, 3, 8, 5, 8, 3, 7, 0, 0, 3, 6, 9, 2, 8, 6, 2, 9, 4, 3, 2, 5, 7, 9, 5, 2, 5, 3, 1, 9, 4, 3, 0, 8, 5, 4, 9, 1, 7, 6, 7, 4, 1, 9, 8, 6, 4, 3, 0, 3, 2, 8, 9, 6, 1, 6, 1, 0, 6, 6, 3, 0, 2, 5, 0, 5, 7, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Madelung constant b2(2), negated. LINKS Eric Weisstein's World of Mathematics, Madelung Constants FORMULA Pi*log(2) = -(8/3)*int(log(x)/sqrt(1+4*x-4*x^2), x=0..1). - John M. Campbell, Feb 07 2012 Pi*log(2) = int((x/sin(x))^2, x=0..Pi/2) = int(log(x^2+1)/(x^2+1), x=0..infinity) = int(-log(cos(x)), x=-Pi/2..Pi/2) = int(arctan(1/x)^2, x=0..infinity). - Jean-François Alcover, May 30 2013 EXAMPLE 2.1775860903036021305006888982376139... MATHEMATICA RealDigits[Pi Log[2], 10, 120][[1]] (* Harvey P. Dale, Dec 31 2011 *) CROSSREFS Sequence in context: A078104 A072280 A217106 * A256392 A011134 A157240 Adjacent sequences:  A086051 A086052 A086053 * A086055 A086056 A086057 KEYWORD nonn,cons,easy AUTHOR Eric W. Weisstein, Jul 07 2003 EXTENSIONS Corrected by Antti Ahti (antti.ahti(AT)tkk.fi), Nov 17 2004 More terms from Benoit Cloitre, May 21 2005 STATUS approved

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Last modified October 14 02:29 EDT 2019. Contains 327995 sequences. (Running on oeis4.)