A368301 Main diagonal of A365991: the n-th term in the trajectory of n under the A185452 map.

1, 1, 4, 3, 208, 1, 73, 2, 573, 13, 183, 1, 52, 3583, 4, 3, 108, 6999, 2, 83, 4974, 13998, 34177, 3, 378, 208, 108, 34177, 417208, 8, 903, 3, 52, 27, 213608, 104302, 1296224, 8, 68933, 13, 11253583, 1158333, 43, 65189, 30792, 9947104, 40507, 2, 6573998, 27573

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) = A365991(n,n-1).

Mathematica

A368301[n_]:=Nest[If[OddQ[#], (5#+1)/2, #/2]&, n, n-1]; Array[A368301, 100]

Crossrefs

Cf. A185452, A365991, A368300, A371691 (parity).

Sequence in context: A079324 A002298 A195565 * A356855 A335913 A340667

Adjacent sequences: A368298 A368299 A368300 * A368302 A368303 A368304

Keyword

nonn,easy

Author

Paolo Xausa, Dec 20 2023

Status

approved