A347264 Largest value in the 3x+1 sequence starting at n, divided by 4.

1, 1, 4, 1, 4, 4, 13, 2, 13, 4, 13, 4, 10, 13, 40, 4, 13, 13, 22, 5, 16, 13, 40, 6, 22, 10, 2308, 13, 22, 40, 2308, 8, 25, 13, 40, 13, 28, 22, 76, 10, 2308, 16, 49, 13, 34, 40, 2308, 12, 37, 22, 58, 13, 40, 2308, 2308, 14, 49, 22, 76, 40, 46, 2308, 2308, 16, 49, 25

Offset: 1

Author

Omar E. Pol, Aug 27 2021

Keywords

• nonn

Comments

a(n) is the largest value in the n-th row of A347270 divided by 4.

Examples

			For n = 1 the 3x+1 sequence starting in 1 is 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, ... The largest value is 4 and 4/4 = 1 so a(1) = 1.
For n = 7 the 3x+1 sequence starting in 7 is 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, ... The largest value is 52 and 52/4 = 13 so a(7) = 13.
		

Links

• Index entries for sequences related to 3x+1 (or Collatz) problem

Crossrefs

[1, 1] together with A328147 (essentially the same sequence).

Cf. A006370, A056959, A347270.

Formula

a(n) = A056959(n)/4.