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A084521 An infinite juggling sequence of three balls: successively larger 'prime' ground-state 3-ball site swaps listed in lexicographical order. A subset of A084511. 11

%I #8 Jul 29 2017 13:05:28

%S 3,4,2,4,4,1,5,2,2,5,3,1,4,4,4,0,4,5,3,0,5,2,4,1,5,3,4,0,5,5,1,1,5,5,

%T 2,0,6,2,2,2,6,2,3,1,6,3,1,2,6,3,3,0,6,4,1,1,6,4,2,0,4,5,5,0,1,4,6,1,

%U 3,1,4,6,4,0,1,5,2,4,4,0,5,2,5,3,0,5,3,5,0,2,5,5,1,4,0,5,5,5,0,0,5,6,1,1,2

%N An infinite juggling sequence of three balls: successively larger 'prime' ground-state 3-ball site swaps listed in lexicographical order. A subset of A084511.

%C A juggling sequence is defined as 'prime', if it does not visit any state more than once. This means that in A084523 no integer occurs twice between consecutive sevens.

%H A. Karttunen, <a href="/A084507/a084507.scm.txt">Scheme-program for computing this sequence</a>

%H <a href="/index/J#Juggling">Index entries for sequences related to juggling</a>

%e The successive site swaps are: 3; 4,2; 4,4,1; 5,2,2; 5,3,1; 4,4,4,0; 4,5,3,0; ... See A084522.

%Y The number of such site swaps of length n is given by A084529. First position where n appears: A084527.

%K nonn,tabf

%O 1,1

%A _Antti Karttunen_, Jun 02 2003

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