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

Author

Zhao Hui Du, Nov 30 2019

Keywords

• nonn

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

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

Crossrefs

Cf. A117609, A120884, A293288.

Extensions

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