A080347 Number of shuffles in Guy's shuffle (A035485) corresponding to the terms in A080346.

1, 7, 41, 80, 219, 313, 1579, 4250, 32327, 96057, 203774, 321975, 394664, 1430433, 5886828, 9140809, 35697590, 101647281, 453696237

Offset

1,2

Comments

Card #1 being at the top before the first shuffle is not counted. The card at the top is in A080346. Card 170 reaches the top for the 15th time after 5886828 shuffles and for the 16th time after 9140809 shuffles, so a(15) <= 5886828 and a(16) <= 9140809.

Links

Table of n, a(n) for n=1..19.

Example

Card #14 is the first card to reach the top position 3 times after 41 shuffles and it is the first card to do so, so a(3)=41.

Prog

(Python) # See program in A080346

Crossrefs

Cf. A035485, A057976, A080346.

Sequence in context: A161505 A105902 A031909 * A007398 A290204 A138629

Adjacent sequences: A080344 A080345 A080346 * A080348 A080349 A080350

Keyword

hard,more,nonn

Author

Jud McCranie, Feb 16 2003, revised Mar 08 2003

Extensions

a(2) and a(9) corrected by Michael S. Branicky, Feb 01 2021

a(15)-a(16) from Frank A. Stevenson, Feb 04 2024

a(17)-a(19) from Frank A. Stevenson, Feb 09 2024

Status

approved