A082528 Least k such that x(k)=0 where x(1)=n x(k)=k^3*floor(x(k-1)/k^3).

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Offset: 0

Author

Benoit Cloitre, Apr 30 2003

Keywords

• nonn

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.

Crossrefs

Cf. A073047.

Programs

PARI

a(n)=if(n<0,0,s=n; c=1; while(s-s%(c^3)>0,s=s-s%(c^3); c++); c)

Formula

a(n) seems to be asymptotic to (c*n)^(1/4) where c=6.76....