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A065457 Period of the flip-riffle shuffle function on a deck of 2n cards. 1

%I #10 Mar 18 2018 04:06:13

%S 2,2,4,6,6,10,12,4,8,18,6,22,20,18,28,10,10,12,36,12,20,14,12,46,42,8,

%T 52,20,18,58,60,6,12,66,22,70,18,20,30,78,54,82,8,28,22,12,10,36,48,

%U 30,100,102,12,106,36,36,28,44,12,24,110,20,100,14,14,130,18

%N Period of the flip-riffle shuffle function on a deck of 2n cards.

%C Duplicate of A055388? [_Michel Marcus_ and _Joerg Arndt_, Jun 24 2013]

%C The flip-riffle shuffle is a riffle shuffle but also turns the deck upside down.

%e The flip-riffle shuffle on 6 cards is [1,2,3,4,5,6] -> [6,3,5,2,4,1]. The period of this function is 4, hence a(3) = 4.

%Y Equals lcm(A002326(n), 2).

%K nonn

%O 1,1

%A _Russ Cox_, Nov 19 2001

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