A368300 Main diagonal of A365484: the n-th term in the trajectory of n under the A014682 map.

1, 1, 8, 2, 1, 2, 10, 1, 10, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 167, 1, 2, 1, 319, 1, 1, 2, 1, 1, 2, 1, 2, 1, 911, 1, 1, 2, 1, 2, 433, 1, 2, 1, 2, 1, 2, 325, 488, 2, 1, 2, 1, 2, 1, 40, 20, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2

Offset

1,3

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Alex V. Kontorovich and Jeffrey C. Lagarias, Stochastic Models for the 3x+1 and 5x+1 Problems, arXiv:0910.1944 [math.NT], 2009, and in Jeffrey C. Lagarias, ed., The Ultimate Challenge: The 3x+1 Problem, American Mathematical Society, 2010, pp. 131-188.

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

Formula

a(n) = A365484(n,n-1).

Mathematica

A368300[n_]:=Nest[If[OddQ[#], (3#+1)/2, #/2]&, n, n-1]; Array[A368300, 100]

Crossrefs

Cf. A014682, A347270, A347272, A365484, A368301, A371689 (parity).

Sequence in context: A011008 A010149 A199796 * A021553 A157472 A346834

Adjacent sequences: A368297 A368298 A368299 * A368301 A368302 A368303

Keyword

nonn,easy

Author

Paolo Xausa, Dec 20 2023

Status

approved