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 A086819 Decimal expansion of Lochs's constant. 1
 9, 7, 0, 2, 7, 0, 1, 1, 4, 3, 9, 2, 0, 3, 3, 9, 2, 5, 7, 4, 0, 2, 5, 6, 0, 1, 9, 2, 1, 0, 0, 1, 0, 8, 3, 3, 7, 8, 1, 2, 8, 4, 7, 0, 4, 7, 8, 5, 1, 6, 1, 2, 8, 6, 6, 1, 0, 3, 5, 0, 5, 2, 9, 9, 3, 1, 2, 5, 4, 1, 9, 9, 8, 9, 1, 7, 3, 7, 0, 4, 8, 0, 3, 6, 2, 1, 2, 6, 7, 4, 9, 0, 8, 0, 2, 9, 0, 2, 6, 4, 6, 9, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Named after the Austrian mathematician Gustav Emil Maria Johannes Lochs (1907-1988). - Amiram Eldar, Feb 05 2022 LINKS Table of n, a(n) for n=0..103. Dan Lascu and Gabriela Ileana Sebe, Comparison of various continued fraction expansions: a Lochs-type approach, arXiv:2005.00380 [math.NT], 2020. Gustav Lochs, Vergleich der Genauigkeit von Dezimalbruch und Kettenbruch, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Volume 27, Issue 1-2 (April 1964), pp. 142-144. Eric Weisstein's World of Mathematics, Lochs' Constant. Eric Weisstein's World of Mathematics, Lochs' Theorem. FORMULA Equals 6*log(2)*log(10)/Pi^2. Equals 1/A062542 = 1/(2*A240995). - Amiram Eldar, Feb 05 2022 EXAMPLE 0.97027011439203392574025601921001083378128470478516... MATHEMATICA RealDigits[(6*Log[2]Log[10])/Pi^2, 10, 120][[1]] (* Harvey P. Dale, Jul 13 2019 *) PROG (PARI) 6*log(2)*log(10)/Pi^2 \\ Michel Marcus, Oct 17 2014 CROSSREFS Cf. A062542, A240995. Sequence in context: A185364 A085678 A256687 * A019885 A199078 A194098 Adjacent sequences: A086816 A086817 A086818 * A086820 A086821 A086822 KEYWORD cons,nonn AUTHOR Benoit Cloitre, Aug 06 2003 STATUS approved

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)