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

1,3

Comments

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

Links

Table of n, a(n) for n=1..66.

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

Formula

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

Example

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.

Crossrefs

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

Cf. A006370, A056959, A347270.

Sequence in context: A204714 A341100 A350639 * A328147 A151783 A258853

Adjacent sequences: A347261 A347262 A347263 * A347265 A347266 A347267

Keyword

nonn

Author

Omar E. Pol, Aug 27 2021

Status

approved