login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A082527 Least k such that x(k)=0 where x(1)=n x(k)=k^2*floor(x(k-1)/k^2). 1
1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n) seems to be asymptotic to (c*n)^(1/3) where c=4.96....

EXAMPLE

If x(1)=3 x(2)=4*floor(3/4)=0 hence a(3)=2, if x(1)=10 x(2)=4*floor(10/4)=2 x(3)=0 hence a(10)=3...

PROG

(PARI) a(n)=if(n<0, 0, s=n; c=1; while(s-s%(c^2)>0, s=s-s%(c^2); c++); c)

CROSSREFS

Cf. A073047.

Sequence in context: A237657 A244317 A130255 * A294235 A186188 A227177

Adjacent sequences:  A082524 A082525 A082526 * A082528 A082529 A082530

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Apr 30 2003

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 September 22 13:47 EDT 2020. Contains 337289 sequences. (Running on oeis4.)