A270570 Largest number in the sequence for the Collatz problem (excluding the original number) when started at n.

1, 16, 2, 16, 16, 52, 4, 52, 16, 52, 16, 40, 52, 160, 8, 52, 52, 88, 16, 64, 52, 160, 16, 88, 40, 9232, 52, 88, 160, 9232, 16, 100, 52, 160, 52, 112, 88, 304, 20, 9232, 64, 196, 52, 136, 160, 9232, 24, 148, 88, 232, 40, 160, 9232, 9232, 52, 196, 88, 304, 160

Offset: 2

Author

Douglas Boffey, Mar 19 2016

Keywords

• nonn

Examples

			For n = 7, the sequence is: 7, 22, 11, 34, 17, *52*, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. The highest value in the list (starred) is 52.
		

Links

• Robert Price, Table of n, a(n) for n = 2..10000

Programs

Mathematica

Table[k = n; maxk = 0; While[k ≠ 1, If[EvenQ[k], k = k/2, k = 3*k + 1]; maxk = Max[maxk, k]]; maxk, {n, 2, 100}] (* Robert Price, Apr 11 2016 *)