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A122761
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"Completed" Cantor based power of three triangular array: t(n,m)=3^n*(1+Mod[n,2]): power sets as {1,0}set +{0,2}set={1,2}set.
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0
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1, 2, 6, 1, 3, 9, 2, 6, 18, 54, 1, 3, 9, 27, 81, 2, 6, 18, 54, 162, 486, 1, 3, 9, 27, 81, 243, 729, 2, 6, 18, 54, 162, 486, 1458, 4374, 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 2, 6, 18, 54, 162, 486, 1458, 4374, 13122, 39366, 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Lynn Arthur Steen and J. Arthur Seebach, Jr., Counterexamples in Topology, Dover, New York, 1978, pp. 57-58
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FORMULA
| t(n,m)=3^n*(1+Mod[n,2])
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EXAMPLE
| 1
2, 6
1, 3, 9
2, 6, 18, 54
1, 3, 9, 27, 81
2, 6, 18, 54, 162, 486
1, 3, 9, 27, 81, 243, 729
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MATHEMATICA
| c[n_] := 1 + Mod[n, 2] T3[n_, m_] := 3^n*c[m] c0 = Table[Table[T3[n, m], {n, 0, m}], {m, 0, 10}]; Flatten[c0] MatrixForm[c0]
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CROSSREFS
| Sequence in context: A078434 A021892 A121601 * A100469 A124320 A156146
Adjacent sequences: A122758 A122759 A122760 * A122762 A122763 A122764
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 21 2006
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