A082527 - OEIS

A082527

Least k such that x(k)=0 where x(1)=n x(k)=k^2*floor(x(k-1)/k^2).

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