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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A120613 a(n)=floor(phi*floor(n/phi)) where phi=(1+sqrt(5))/2. 2
0, 1, 1, 3, 4, 4, 6, 6, 8, 9, 9, 11, 12, 12, 14, 14, 16, 17, 17, 19, 19, 21, 22, 22, 24, 25, 25, 27, 27, 29, 30, 30, 32, 33, 33, 35, 35, 37, 38, 38, 40, 40, 42, 43, 43, 45, 46, 46, 48, 48, 50, 51, 51, 53, 53, 55, 56, 56, 58, 59, 59, 61, 61, 63, 64, 64, 66, 67, 67, 69, 69, 71, 72 (list; graph; refs; listen; history; internal format)
OFFSET

0,4

REFERENCES

M. Griffiths, The Golden String, Zeckendorf Representatons, and the Sum of a Series, Amer. Math. Monthly, 118 (2011), 497-507. See p. 502.

FORMULA

a(n)=n-A003842(n)

PROG

(PARI) f=(1+sqrt(5))/2; a(n)=floor(f*floor(n/f))

CROSSREFS

Cf. A120614 (first differences), A120615 (partial sums).

Sequence in context: A014683 A166737 A088847 * A164326 A117571 A008474

Adjacent sequences:  A120610 A120611 A120612 * A120614 A120615 A120616

KEYWORD

nonn

AUTHOR

Benoit Cloitre (abmt(AT)orange.fr), Jun 17 2006

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

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

Last modified February 15 14:02 EST 2012. Contains 205811 sequences.