Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)

Revision History for A294443

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A294443 Number of distinct numbers appearing as numerators in row n of Kepler's triangle A294442.
(history; published version)
#29 by R. J. Mathar at Fri Aug 05 07:02:23 EDT 2022
STATUS

editing

approved

#28 by R. J. Mathar at Fri Aug 05 07:01:03 EDT 2022
LINKS

Richard R. J. Mathar, <a href="http://www.mpia.de/~mathar/public="/A294443/mathar20171127a294443.pdf">The Kepler binary tree of reduced fractions</a>, 2017.>

STATUS

approved

editing

#27 by Susanna Cuyler at Wed Apr 18 19:56:00 EDT 2018
STATUS

proposed

approved

#26 by Michael De Vlieger at Wed Apr 18 18:05:12 EDT 2018
STATUS

editing

proposed

#25 by Michael De Vlieger at Wed Apr 18 18:05:07 EDT 2018
DATA

1, 1, 2, 3, 5, 7, 13, 20, 31, 48, 78, 118, 191, 300, 465, 734, 1175, 1850, 2926, 4597, 7296, 11552, 18278, 28863, 45832, 72356, 114742, 181721

EXTENSIONS

a(22)-a(2628) from Michael De Vlieger, Apr 18 2018

STATUS

proposed

editing

#24 by Michel Marcus at Wed Apr 18 17:49:33 EDT 2018
STATUS

editing

proposed

#23 by Michel Marcus at Wed Apr 18 17:49:25 EDT 2018
EXAMPLE

Row 4 of A294442 contains eight fractions,: 1/5, 4/5, 3/7, 4/7, 2/7, 2/7, 3/8, 5/8.

1/5, 4/5, 3/7, 4/7, 2/7, 2/7, 3/8, 5/8.

STATUS

proposed

editing

#22 by Michael De Vlieger at Wed Apr 18 17:46:53 EDT 2018
STATUS

editing

proposed

#21 by Michael De Vlieger at Wed Apr 18 17:46:47 EDT 2018
DATA

1, 1, 2, 3, 5, 7, 13, 20, 31, 48, 78, 118, 191, 300, 465, 734, 1175, 1850, 2926, 4597, 7296, 11552, 18278, 28863, 45832, 72356

EXTENSIONS

a(22)-a(2326) from Michael De Vlieger, Apr 18 2018

#20 by Michael De Vlieger at Wed Apr 18 17:46:21 EDT 2018
DATA

1, 1, 2, 3, 5, 7, 13, 20, 31, 48, 78, 118, 191, 300, 465, 734, 1175, 1850, 2926, 4597, 7296, 11552, 18278

LINKS

Richard J. Mathar, <a href="http://www.mpia.de/~mathar/public/mathar20171127.pdf">The Kepler binary tree of reduced fractions</a>, 2017.

MATHEMATICA

Map[Length@ Union@ Numerator@ # &, #] &@ Nest[Append[#, Flatten@ Map[{#1/(#1 + #2), #2/(#1 + #2)} & @@ {Numerator@ #, Denominator@ #} &, Last@ #]] &, {{1/1}, {1/2}}, 21] (* Michael De Vlieger, Apr 18 2018 *)

EXTENSIONS

a(22)-a(23) from Michael De Vlieger, Apr 18 2018

STATUS

approved

editing

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 18 22:11 EDT 2024. Contains 375284 sequences. (Running on oeis4.)