The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A254149 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A254149

Decimal expansion of the average reciprocal length of a line segment picked at random in a unit 4-cube.
(history; published version)

#19 by Michel Marcus at Mon Apr 26 06:33:38 EDT 2021

STATUS

reviewed

approved

#18 by Joerg Arndt at Mon Apr 26 06:27:15 EDT 2021

STATUS

proposed

reviewed

#17 by Michel Marcus at Mon Apr 26 05:16:35 EDT 2021

STATUS

editing

proposed

#16 by Michel Marcus at Mon Apr 26 05:16:32 EDT 2021

LINKS

D. H. Bailey, J. M. Borwein, and R. E. Crandall, <a href="https://doi.org/10.1090/S0025-5718-10-02338-0">Advances in the theory of box integrals</a>, Math. Comp. 79 (2010), 1839-1866. See p. 25.

STATUS

proposed

editing

#15 by F. Chapoton at Mon Apr 26 04:58:30 EDT 2021

STATUS

editing

proposed

#14 by F. Chapoton at Mon Apr 26 04:58:21 EDT 2021

PROG

print map(int, list(str(C=-152/315 - 8*pi/15 - 16/5*log(2) + 2/5*log(3) + 68/105*sqrt(2) - 16/35*sqrt(3) + 4/5*log(1 + sqrt(2)) + 32/5*log(1 + sqrt(3)) - 8/3*catalan + 8*Ti2x - 8/5*sqrt(2)*atan(sqrt(2)/4)).replace('.', '')[:-1])) # _Indranil Ghosh_, Jul 03 2017

print([int(n) for n in list(str(C.real).replace('.', '')[:-1])]) # Indranil Ghosh, Jul 03 2017

STATUS

approved

editing

Discussion

Mon Apr 26

04:58

F. Chapoton: adapt py code to py3

#13 by Bruno Berselli at Mon Jul 03 12:06:29 EDT 2017

STATUS

proposed

approved

#12 by Michel Marcus at Mon Jul 03 12:02:54 EDT 2017

STATUS

editing

proposed

#11 by Michel Marcus at Mon Jul 03 12:02:43 EDT 2017

LINKS

D. H. Bailey, J. M. Borwein, R. E. Crandall, <a href="httphttps://citeseerx.ist.psu.edu/viewdoc/summary?doi=.org/10.1.1.154.17941090/S0025-5718-10-02338-0">Advances in the theory of box integrals </a>, Math. Comp. 79 (2010)</a> , 1839-1866. See p. 25.

Eric Weisstein's MathWorld, World of Mathematics, <a href="http://mathworld.wolfram.com/HypercubeLinePicking.html">Hypercube Line Picking</a>

Eric Weisstein MathWorld, World of Mathematics, <a href="http://mathworld.wolfram.com/InverseTangentIntegral.html">Inverse Tangent Integral</a>

STATUS

proposed

editing

#10 by Indranil Ghosh at Mon Jul 03 11:48:20 EDT 2017

STATUS

editing

proposed