|
|
A057984
|
|
These numbers are the record number of steps for the numbers in A057983 to reach the top of the deck in Guy's shuffle (see A035485).
|
|
6
|
|
|
0, 1, 2, 8, 78, 349, 383, 13932, 30452, 252992198, 364873753, 850627701, 914514429, 17493745212, 471008431072, 1027221839335, 14568535208344
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
See A057983 for the numbers that take these number of steps to reach the top of the deck. Gale gives a(12) as 21879255397 (incorrect).
|
|
REFERENCES
|
D. Gale, Tracking the Automatic Ant and Other Mathematical Explorations, Springer, 1998, chapter 5.
D. Gale, Mathematical Entertainments: "Careful Card-Shuffling and Cutting Can Create Chaos," The Mathematical Intelligencer, vol. 14, no. 1, 1992, pages 54-56.
|
|
LINKS
|
|
|
EXAMPLE
|
In Guy's shuffle, 4 takes 8 shuffles to reach the top, no smaller number takes more shuffles, so 8 is in the sequence.
|
|
CROSSREFS
|
|
|
KEYWORD
|
hard,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|