OFFSET
1,2
COMMENTS
It seems that limsup and liminf of a(n)/sqrt(n) exist (see link).
LINKS
Hugo Pfoertner, Table of n, a(n) for n = 1..10000
Benoit Cloitre, Plot of a(n)/sqrt(n) for n=1 up to 400000
Hugo Pfoertner, Plot of a(n)/sqrt(n), n=1..400000, zoom into pdf to see details.
MATHEMATICA
a[1]=1; a[n_]:=Floor[n/Min[a[n-1], a[Floor[n/2]]]]; Array[a, 80] (* Stefano Spezia, May 18 2024 *)
PROG
(PARI) a(n)=if(n<2, 1, floor(n/min(a(n-1), a(n\2))))
CROSSREFS
KEYWORD
nonn,look
AUTHOR
Benoit Cloitre, May 18 2024
STATUS
approved