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

Author

T. D. Noe, Feb 12 2011

Keywords

• nonn
• frac

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).

Examples

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

Links

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

Crossrefs

Cf. A126241 (dropping times)

Formula

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