A130832 Number of cubes in Menger cube constructions by levels: Sum[20^(2^n), {n, 0, m}].

20, 420, 160420, 25600160420, 655360000025600160420, 429496729600000000000655360000025600160420

Offset

1,1

Comments

A Sierpinski gasket has three starting states: a Sierpinski carpet has eight starting states: A Sierpinski tetrahedron has four starting states: the Menger cube has 27-7=20 starting states. This fact makes making a level four or level five Menger construction a very difficult task.

Links

Table of n, a(n) for n=1..6.

Formula

a(m) = Sum[20^(2^n), {n, 0, m}]

Mathematica

f[m_] := Sum[20^(2^n), {n, 0, m}] Table[f[n], {n, 0, 5}]

Crossrefs

Sequence in context: A268738 A358108 A215290 * A180810 A109116 A190922

Adjacent sequences: A130829 A130830 A130831 * A130833 A130834 A130835

Keyword

nonn

Author

Roger L. Bagula, Aug 20 2007

Status

approved