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Search: id:A130832
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| A130832 |
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Number of cubes in Menger cube constructions by levels: Sum[20^(2^n), {n, 0, m}]. |
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+0
1
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| 20, 420, 160420, 25600160420, 655360000025600160420, 429496729600000000000655360000025600160420
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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FORMULA
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a(m) = Sum[20^(2^n), {n, 0, m}]
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MATHEMATICA
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f[m_] := Sum[20^(2^n), {n, 0, m}] Table[f[n], {n, 0, 5}]
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CROSSREFS
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Sequence in context: A041181 A041762 A068772 this_sequence A109116 A136257 A099278
Adjacent sequences: A130829 A130830 A130831 this_sequence A130833 A130834 A130835
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 20 2007
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