A086819 - OEIS

A086819

Decimal expansion of Lochs's constant.

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

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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