OFFSET
1,2
COMMENTS
Many of these numbers are on the same trajectory. For instance, the numbers from 27 to 95 are all on the Collatz trajectories of 27 and 54. See Roosendaal's web page for more possibilities. - T. D. Noe, Apr 25 2013
LINKS
Eric Roosendaal, 3x+1 path records
FORMULA
Numbers n such that A025586(n) >= n^2.
EXAMPLE
3 is a member since both 16 and 10 both belong to Collatz trajectory of 3 that are >= 3^2 = 9.
MATHEMATICA
Coll[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; t = {}; Do[If[Max[Coll[n]] >= n*n, AppendTo[t, n]], {n, 1000}]; t
CROSSREFS
KEYWORD
nonn
AUTHOR
Jayanta Basu, Apr 25 2013
EXTENSIONS
Extended by T. D. Noe, Apr 25 2013
STATUS
approved