A338196 - OEIS

A338196

The integers sorted according to the maximum number in their Collatz (3*x+1) orbit, and in the case of a tie, sorted according to their value.

1, 2, 4, 8, 3, 5, 6, 10, 12, 16, 20, 24, 32, 13, 26, 40, 48, 7, 9, 11, 14, 17, 18, 22, 28, 34, 36, 44, 52, 56, 21, 42, 64, 68, 72, 80, 84, 19, 25, 29, 38, 50, 58, 76, 88, 96, 33, 66, 100, 104, 37, 74, 112, 116, 128, 132, 45, 90, 136, 144, 49, 98, 148, 152, 15

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OFFSET

1,2

COMMENTS

Assuming the validity of the Collatz conjecture, this sequence is a permutation of the natural numbers.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A338196

EXAMPLE

a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8 are already the maximum in their orbit.

a(5) = 3, a(6) = 5, a(7) = 6, a(8) = 10, a(9) = 12, and a(10) = 16 all have an orbit with 16 as maximum and are therefore sorted by their size.

PROG