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A084529 Number of 'prime' ground-state 3-ball juggling sequences of period n. 5


%S 1,1,3,12,42,142,502,1702,5878

%N Number of 'prime' ground-state 3-ball juggling sequences of period n.

%C This sequence counts the length n asynchronic site swaps given in A084521/A084522.

%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.

%D B. Polster, The Mathematics of Juggling, Springer-Verlag, 2003, pp. 50-51.

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

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

%Y First differences of A084528. Cf. A084509, A084519.

%K nonn

%O 1,3

%A _Antti Karttunen_, Jun 02 2003

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Last modified August 26 00:35 EDT 2019. Contains 326324 sequences. (Running on oeis4.)