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A120229
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Split-floor-multiplier sequence (SFMS) using multipliers 1/3 and 3. The SFMS using multipliers r and s is here introduced: for every positive integer n and positive real number r, let [rn] abbreviate floor(rn). Then SFMS(r, s), where max {r, s}>1, is the sequence a defined by a(n)=[rn] if [rn]>0 and is not already in a and a(n)=[sn] otherwise.
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10
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3, 6, 1, 12, 15, 2, 21, 24, 27, 30, 33, 4, 39, 42, 5, 48, 51, 54, 57, 60, 7, 66, 69, 8, 75, 78, 9, 84, 87, 10, 93, 96, 11, 102, 105, 108, 111, 114, 13, 120, 123, 14, 129, 132, 135, 138, 141, 16, 147, 150, 17, 156, 159, 18, 165, 168, 19, 174, 177, 20, 183, 186, 189, 192, 195
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Self-inverse permutation of the natural numbers.
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REFERENCES
| Responses to message "Murthy's sequence A073675" to seqfan(AT)ext.jussieu.fr. The message and responses are dated Feb. 2, 2006 and relate to generalizations and properties of sequence A073675, which is SFMS(1/2,2).
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FORMULA
| a(n)=[n/3] if this is positive and new, else a(n)=3n.
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EXAMPLE
| a(1)=1*3 because [1/3] is not positive.
a(2)=2*3 because [2/3] is not positive.
a(3)=1=[3*(1/3)].
a(4)=4*3 because [4/3]=a(3), not new.
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CROSSREFS
| Cf. A073675, A120230.
Sequence in context: A152202 A026250 A130724 * A192100 A123534 A100960
Adjacent sequences: A120226 A120227 A120228 * A120230 A120231 A120232
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Jun 11 2006
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