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

 

Logo

Many excellent designs for a new banner were submitted. We will use the best of them in rotation.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A019586 Vertical para-Fibonacci sequence: takes value i on later (i.e. b_j, j >= 2) terms of i-th Fibonacci sequence defined by b_0 = i, b_1 = [ tau(i+1) ]. 10
0, 0, 0, 1, 0, 2, 1, 0, 3, 2, 1, 4, 0, 5, 3, 2, 6, 1, 7, 4, 0, 8, 5, 3, 9, 2, 10, 6, 1, 11, 7, 4, 12, 0, 13, 8, 5, 14, 3, 15, 9, 2, 16, 10, 6, 17, 1, 18, 11, 7, 19, 4, 20, 12, 0, 21, 13, 8, 22, 5, 23, 14, 3, 24, 15, 9, 25, 2, 26, 16, 10, 27, 6, 28, 17, 1, 29, 18, 11, 30, 7, 31, 19, 4, 32, 20, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Gives number of row in Wythoff array that contains n. - Casey Mongoven, Sep 10 2005

For a method of generating this sequence that does not refer to the Wythoff array or Fibonacci numbers, see A003603. - Clark Kimberling, Oct 29 2009

REFERENCES

Casey Mongoven, Sonification of multiple Fibonacci-related sequences, Annales Mathematicae et Informaticae, 41 (2013) pp. 175-192.

LINKS

Table of n, a(n) for n=1..87.

N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).

N. J. A. Sloane, Classic Sequences

FORMULA

Says which row of Wythoff array (starting row count at 0) contains n.

If delete first occurrence of 0, 1, 2, 3, ... the sequence is unchanged.

CROSSREFS

Equals A003603(n) - 1.

Cf. Wythoff array: A035513.

Sequence in context: A025648 A025655 A022336 * A176095 A063942 A106384

Adjacent sequences:  A019583 A019584 A019585 * A019587 A019588 A019589

KEYWORD

nonn,nice,easy,eigen

AUTHOR

N. J. A. Sloane and J. H. Conway

EXTENSIONS

Casey Mongoven reports that where the sequence reads 15,9,2,16,10,6,29,1,30,11,7,19..., the 29 and 30 should be 17 and 18.

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 29 2003

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified April 21 02:07 EDT 2014. Contains 240824 sequences.