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!)
A329302 Number of level-n cubes on a Menger Sponge that are enclosed in the inscribed sphere of the starting cube. 0
0, 44, 2320, 54800, 1146112, 23278472, 468028264, 9376805048, 187644496672, 3753613318520, 75077089399408, 1501573939443704, 30031693123408792, 600635291349699440, 12012715352891236816, 240254370564131706488, 4805087834658423387496, 96101759515675744360544 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A level-n cube is understood to be enclosed in a sphere if each of its 8 vertices lies either inside or on the surface of the sphere.

This sequence is a 3D extension to A293288.

LINKS

Table of n, a(n) for n=1..18.

Sierpinski copper coin, Table of results computed by Hong Yang Cao (in Chinese).

Wikipedia, Menger sponge.

CROSSREFS

Cf. A117609, A120884, A293288.

Sequence in context: A121008 A250446 A233941 * A271137 A234833 A282186

Adjacent sequences:  A329299 A329300 A329301 * A329303 A329304 A329305

KEYWORD

nonn

AUTHOR

Zhao Hui Du, Nov 30 2019

EXTENSIONS

a(9)-a(18) from Ickiverar added by Zhao Hui Du, Jan 10 2020

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)