A053423 The mapping F(n) = floor(floor(n*sqrt(n)) / floor(sqrt(n))) iterates to a fixed point; a(n) is the least k such that f(k,n)=f(k-1,n), where f(0,n)=n, f(1,n)=F(n), f(k,n)=f(k-1,F(n)).

1, 1, 2, 1, 1, 3, 2, 9, 1, 1, 8, 7, 6, 2, 5, 1, 1, 5, 4, 3, 10, 2, 11, 9, 1, 1, 10, 9, 8, 3, 7, 2, 2, 6, 17, 1, 1, 6, 5, 4, 16, 3, 15, 12, 2, 14, 12, 11, 1, 1, 13, 12, 11, 4, 10, 3, 12, 9, 2, 13, 11, 9, 8, 1, 1, 12, 11, 10, 8, 9, 7, 3, 8, 6, 2, 2, 7, 13, 5

Offset

1,3

Links

Table of n, a(n) for n=1..79.

Example

F(6)=7, F(7)=9, F(9)=9, so that a(6)=3; see A053424.

Crossrefs

Sequence in context: A296086 A122044 A120744 * A216201 A127514 A078802

Adjacent sequences: A053420 A053421 A053422 * A053424 A053425 A053426

Keyword

nonn

Author

Clark Kimberling

Extensions

Name clarified by Sean A. Irvine, Dec 23 2021

Status

approved