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A003603 Fractal sequence obtained from Fibonacci numbers (or Wythoff array).
(Formerly M0138)
+0
4
1, 1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 5, 1, 6, 4, 3, 7, 2, 8, 5, 1, 9, 6, 4, 10, 3, 11, 7, 2, 12, 8, 5, 13, 1, 14, 9, 6, 15, 4, 16, 10, 3, 17, 11, 7, 18, 2, 19, 12, 8, 20, 5, 21, 13, 1, 22, 14, 9, 23, 6, 24, 15, 4, 25, 16, 10, 26, 3, 27, 17, 11, 28, 7, 29, 18, 2, 30, 19, 12, 31, 8, 32, 20, 5, 33 (list; graph; listen)
OFFSET

1,4

REFERENCES

C. Kimberling, Numeration systems and fractal sequences, Acta Arithmetica 73 (1995) 103-117.

LINKS

C. Kimberling, Fractal sequences

N. J. A. Sloane, Classic Sequences

FORMULA

Vertical para-budding sequence: says which row of Wythoff array (starting row count at 1) contains n.

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

CROSSREFS

Equals A019586(n) + 1. Cf. A003602.

Adjacent sequences: A003600 A003601 A003602 this_sequence A003604 A003605 A003606

Sequence in context: A049085 A007336 A133334 this_sequence A135227 A104325 A133084

KEYWORD

nonn,easy,nice,eigen

AUTHOR

njas, Mira Bernstein

EXTENSIONS

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

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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