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A130832
Number of cubes in Menger cube constructions by levels: Sum[20^(2^n), {n, 0, m}].
0
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.
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
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Aug 20 2007
STATUS
approved