The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A265271 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A265271

Least positive real z such that 1/2 = Sum_{n>=1} {n*z} / 2^n, where {x} denotes the fractional part of x.
(history; published version)

#25 by Charles R Greathouse IV at Tue May 14 21:21:24 EDT 2019

STATUS

editing

approved

#24 by Charles R Greathouse IV at Tue May 14 21:21:02 EDT 2019

LINKS

<a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

STATUS

approved

editing

#23 by Paul D. Hanna at Sat Dec 12 11:57:17 EST 2015

STATUS

editing

approved

#22 by Paul D. Hanna at Sat Dec 12 11:57:14 EST 2015

COMMENTS

This constant is one of 6 solutions to the equation 1/2 = Sum_{n>=1} {n*z}/2^n, where z is in the interval (0,1) - see cross-references for other solutions.

The complement to this constant is given by A265276.

STATUS

approved

editing

#21 by Paul D. Hanna at Wed Dec 09 22:54:55 EST 2015

STATUS

editing

approved

#20 by Paul D. Hanna at Wed Dec 09 22:54:53 EST 2015

EXAMPLE

[0, /1, 1/3, 8/25, 9/28, 5392673/16777205, 10785355/33554438, 16178028/50331643, 26963383/83886081, 97068177/301989886, 124031560/385875967, 345131297/1073741820, ...].

STATUS

approved

editing

#19 by Paul D. Hanna at Wed Dec 09 22:52:59 EST 2015

STATUS

editing

approved

#18 by Paul D. Hanna at Wed Dec 09 22:52:56 EST 2015

COMMENTS

This constant is one of 6 solutions to the equation 1/2 = Sum_{n>=1} {n*z}/2^n, where z is in the interval (0,1).

CROSSREFS

Cf. A265272, A265273, A265274, A265275, A265276.

STATUS

approved

editing

#17 by Paul D. Hanna at Wed Dec 09 22:40:49 EST 2015

STATUS

editing

approved

#16 by Paul D. Hanna at Wed Dec 09 22:40:46 EST 2015

CROSSREFS

Cf. A265272, A265273, A265274, A265275, A265276.

STATUS

approved

editing