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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, 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
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
KEYWORD
nonn
EXTENSIONS
Name clarified by Sean A. Irvine, Dec 23 2021
STATUS
approved