login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 10
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

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

FORMULA

a(n)=[n/3] if this is positive and new, else 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.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 21 17:07 EST 2019. Contains 319350 sequences. (Running on oeis4.)