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Number of shuffles in Guy's shuffle (A035485) corresponding to the terms in A080346.
1

%I #33 Mar 02 2024 14:11:35

%S 1,7,41,80,219,313,1579,4250,32327,96057,203774,321975,394664,1430433,

%T 5886828,9140809,35697590,101647281,453696237

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

%C 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.

%e 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.

%o (Python) # See program in A080346

%Y Cf. A035485, A057976, A080346.

%K hard,more,nonn

%O 1,2

%A _Jud McCranie_, Feb 16 2003, revised Mar 08 2003

%E a(2) and a(9) corrected by _Michael S. Branicky_, Feb 01 2021

%E a(15)-a(16) from _Frank A. Stevenson_, Feb 04 2024

%E a(17)-a(19) from _Frank A. Stevenson_, Feb 09 2024