|
Search: id:A127933
|
|
| |
|
| 0, 0, 7, 8, 16, 19, 9, 17, 20, 20, 7, 10, 23, 111, 18, 26, 21, 21, 34, 8, 29, 16, 11, 24, 112, 112, 32, 19, 107, 27, 14, 22, 115, 14, 35, 35, 22, 9, 30, 17, 17, 12, 118, 25, 25, 38, 113, 113, 69, 33, 33
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Impure hailstone numbers are those which occur in the trajectories of smaller numbers. Thus 5 is impure since it occurs in the trajectory of 3.
|
|
REFERENCES
|
Douglas J. Shaw, "The Pure Numbers Generated by the Collatz Sequence", Fibonacci Quarterly; August, 2006, p. 201.
|
|
FORMULA
|
a(n) = A006577(k), where k = the pure hailstone numbers from A061641
|
|
EXAMPLE
|
A061641 (pure hailstone numbers) = 0, 1, 3, 6, 7, 9, 12...; as k in A006577(k), which gives the numbers of iterative steps: 0, 0, 7, 8, 16, 19, 9,... For "3" the trajectory has 7 terms: (10, 5, 16, 8, 4, 2, 1).
|
|
CROSSREFS
|
Cf. A006577, A061641.
Adjacent sequences: A127930 A127931 A127932 this_sequence A127934 A127935 A127936
Sequence in context: A093083 A125195 A099534 this_sequence A006878 A022312 A055661
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 08 2007
|
|
|
Search completed in 0.002 seconds
|
