A057983 These numbers take a record number of steps to reach the top of the deck in Guy's shuffle (see A035485).

1, 2, 3, 4, 7, 13, 15, 39, 43, 54, 1227, 1796, 2674, 3464, 6057, 7650, 17083

Offset: 0

Author

Jud McCranie, Oct 24 2000

Keywords

• hard
• nonn

Comments

See A057984 for the number of steps for these to reach the top of the deck.

Examples

			In Guy's shuffle, 4 takes 8 shuffles to reach the top, no smaller number takes more shuffles, so 4 is in the sequence.
		

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.

Crossrefs

Cf. A035485, A035490, A035493, A035494, A057984, A060750-A060752.

A057984 = A035490(A057983).