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 A120229 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. 13
 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; text; internal format)
 OFFSET 1,1 COMMENTS Self-inverse permutation of the natural numbers. REFERENCES Responses to message "Murthy's sequence A073675" to seqfan(AT)ext.jussieu.fr. The message and responses are dated Feb 02 2006 and relate to generalizations and properties of sequence A073675, which is SFMS(1/2,2). LINKS FORMULA a(n) = [n/3] if this is positive and new, otherwise a(n)=3n. 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. CROSSREFS Cf. A073675, A120230. Row 3 and column 3 of A059897. Sequence in context: A210033 A209144 A130724 * A266151 A192100 A123534 Adjacent sequences:  A120226 A120227 A120228 * A120230 A120231 A120232 KEYWORD nonn AUTHOR Clark Kimberling, Jun 11 2006 STATUS approved

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Last modified May 26 22:17 EDT 2020. Contains 334633 sequences. (Running on oeis4.)