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Search: id:A024222
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| A024222 |
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Shuffles (perfect faro shuffles with cut) required to return a deck of size n to original order. |
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+0
5
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| 0, 1, 2, 2, 4, 4, 3, 3, 6, 6, 10, 10, 12, 12, 4, 4, 8, 8, 18, 18, 6, 6, 11, 11, 20, 20, 18, 18, 28, 28, 5, 5, 10, 10, 12, 12, 36, 36, 12, 12, 20, 20, 14, 14, 12, 12, 23, 23, 21, 21, 8, 8, 52, 52, 20, 20, 18, 18, 58, 58, 60, 60, 6, 6, 12, 12, 66, 66, 22, 22, 35, 35, 9, 9, 20, 20
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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Tim Folger, "Shuffling Into Hyperspace," Discover, 1991 (vol 12, no 1), pages 66-67.
Martin Gardner, "Card Shuffles," Mathematical Carnival chapter 10, pages 123-138. New York: Vintage Books, 1977.
S. Brent Morris, Magic Tricks, Card Shuffling and Dynamic Computer Memories, Math. Assoc. Am., 1998, p. 107.
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EXAMPLE
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a(52)=8: a deck of size 52 returns to original order in 8 perfect faro shuffles.
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CROSSREFS
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A002326 is really the fundamental sequence for this problem. Cf. A024542.
Adjacent sequences: A024219 A024220 A024221 this_sequence A024223 A024224 A024225
Sequence in context: A128442 A038674 A090277 this_sequence A110545 A104798 A143358
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net)
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