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A057984
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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).
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6
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0, 1, 2, 8, 78, 349, 383, 13932, 30452, 252992198, 364873753, 850627701, 914514429, 17493745212, 471008431072, 1027221839335, 14568535208344
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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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).
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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.
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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.
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CROSSREFS
| Cf. A035485, A035490, A035493, A035494, A057983, A060750-A060752.
A057984 = A035490(A057983).
Sequence in context: A002668 A193205 A093062 * A071254 A063528 A073561
Adjacent sequences: A057981 A057982 A057983 * A057985 A057986 A057987
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KEYWORD
| hard,nonn
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AUTHOR
| Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Oct 24 2000
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