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A122761 "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. +0
1
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; listen)
OFFSET

1,2

REFERENCES

Lynn Arthur Steen and J. Arthur Seebach, Jr., Counterexamples in Topology, Dover, New York, 1978, pp. 57-58

FORMULA

t(n,m)=3^n*(1+Mod[n,2])

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

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]

CROSSREFS

Sequence in context: A078434 A021892 A121601 this_sequence A100469 A124320 A156146

Adjacent sequences: A122758 A122759 A122760 this_sequence A122762 A122763 A122764

KEYWORD

nonn,tabl,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 21 2006

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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