The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A081477 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A081477

Complement of A086377.
(history; published version)

#29 by N. J. A. Sloane at Wed Aug 03 23:26:19 EDT 2022

STATUS

proposed

approved

#28 by Jon E. Schoenfield at Wed Aug 03 22:17:10 EDT 2022

STATUS

editing

proposed

#27 by Jon E. Schoenfield at Wed Aug 03 22:16:47 EDT 2022

FORMULA

Conjectures from Clark Kimberling, Aug 03 2022: (Start)

Conjecture: [a(n)*r] = n + [n*r] for n >= 1, where r = sqrt(2) and [ ] = floor. _Clark Kimberling_, Aug 03 2022.

Conjecture: {a(n)*sqrt(2)} > 1/2 if n is in A120753, where { } = fractional part; otherwise n is in A120752. _Clark Kimberling_, Aug 03 2022.(End)

STATUS

proposed

editing

Discussion

Wed Aug 03

22:17

Jon E. Schoenfield: Okay like this?

#26 by Clark Kimberling at Wed Aug 03 16:13:30 EDT 2022

STATUS

editing

proposed

#25 by Clark Kimberling at Wed Aug 03 16:13:08 EDT 2022

FORMULA

Conjecture: [a(n)*r] = n + [n*r] for n >= 1, where r = sqrt(2) and [ ] = floor. Clark Kimberling, Aug 03 2022.

Conjecture: {a(n)*sqrt(2)} > 1/2 if n is in A120753, where { } = fractional part; otherwise n is in A120752. Clark Kimberling, Aug 03 2022.

STATUS

approved

editing

#24 by Peter Luschny at Fri Jan 04 08:49:07 EST 2019

STATUS

proposed

approved

#23 by Muniru A Asiru at Fri Jan 04 08:43:51 EST 2019

STATUS

editing

proposed

#22 by Muniru A Asiru at Fri Jan 04 08:43:42 EST 2019

LINKS

Muniru A Asiru, <a href="/A081477/b081477.txt">Table of n, a(n) for n = 1..5000</a>

STATUS

proposed

editing

#21 by Michel Marcus at Fri Jan 04 08:37:56 EST 2019

STATUS

editing

proposed

#20 by Michel Marcus at Fri Jan 04 08:37:52 EST 2019

EXTENSIONS

Name corrected by Michel Dekking, Jan 04 2019.