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.

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

Offset

1,1

Comments

Self-inverse permutation of the natural numbers.

References

Responses to message "Murthy's sequence A073675" to the seqfan mailing list. 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

Table of n, a(n) for n=1..65.

Seqfan: about Murthy's sequence A073675 (1)

Seqfan: about Murthy's sequence A073675 (2)

Seqfan: about Murthy's sequence A073675 (3)

Index entries for sequences that are permutations of the natural numbers

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,changed

Author

Clark Kimberling, Jun 11 2006

Status

approved