OFFSET
0,2
COMMENTS
Conjecture : define sequence a(n,m) m real >0 as the least k such that x(k)=0 where x(1)=n x(k)=k^m*floor(x(k-1)/k^m) then a(n,m) is asymptotic to (c(m)*n)^(1/(m+1)). where c(m) is a constant depending on m.
FORMULA
a(n) seems to be asymptotic to (c*n)^(1/4) where c=6.76....
PROG
(PARI) a(n)=if(n<0, 0, s=n; c=1; while(s-s%(c^3)>0, s=s-s%(c^3); c++); c)
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Apr 30 2003
STATUS
approved