A329302 Number of level-n cubes on a Menger Sponge that are enclosed in the inscribed sphere of the starting cube.

0, 44, 2320, 54800, 1146112, 23278472, 468028264, 9376805048, 187644496672, 3753613318520, 75077089399408, 1501573939443704, 30031693123408792, 600635291349699440, 12012715352891236816, 240254370564131706488, 4805087834658423387496, 96101759515675744360544

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 * A359885 A271137 A234833

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