|
|
A268731
|
|
Period of the decimal expansion of 1/h(n) where h(n) is the length of the finite sequence {n, f(n), f(f(n)),...,1} in the Collatz (or 3n + 1) problem.
|
|
1
|
|
|
1, 6, 1, 1, 1, 1, 1, 18, 1, 6, 1, 1, 16, 16, 1, 1, 1, 1, 6, 6, 1, 1, 1, 22, 1, 3, 1, 1, 1, 13, 1, 6, 6, 6, 6, 6, 6, 16, 1, 108, 1, 28, 1, 1, 1, 6, 2, 1, 1, 1, 2, 2, 6, 6, 18, 1, 18, 1, 18, 18, 53, 53, 1, 3, 3, 3, 6, 6, 6, 16, 2, 22, 2, 6, 2, 2, 6, 6, 1, 2, 2, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
2,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
EXAMPLE
|
|
|
MATHEMATICA
|
f[n_]:=Module[{a=n, k=0}, While[a!=1, k++; If[EvenQ[a], a=a/2, a=a*3+1]]; k]; Table[r = f[n]/2^IntegerExponent[f[n], 2]/5^IntegerExponent[f[n], 5]; MultiplicativeOrder[10, r], {n, 2, 100}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|