A186107 Numerator of the frequency of the n-th dropping time in the Collatz iteration.

1, 1, 1, 1, 3, 7, 3, 15, 85, 173, 119, 961, 663, 8045, 17637, 51033, 54475, 312455, 663535, 950235, 5936673, 1684037, 39993895, 87986917, 128989251, 205059181, 949737339, 2861515293, 400296173, 19018424205

Offset

1,5

Comments

The possible dropping times are in A020914. The denominators are in A186108. The cumulative frequency of the dropping time is A186109(n)/A186110(n).

Links

Table of n, a(n) for n=1..30.

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

Formula

a(n) = numerator of A186009(n) / 2^A020914(n-1).

Example

The frequencies are 1/2, 1/4, 1/16, 1/16, 3/128, 7/256, 3/256, 15/2048, 85/8192,....

Crossrefs

Cf. A126241 (dropping times)

Sequence in context: A205723 A088837 A201385 * A282160 A338266 A019158

Adjacent sequences: A186104 A186105 A186106 * A186108 A186109 A186110

Keyword

nonn,frac

Author

T. D. Noe, Feb 12 2011

Status

approved