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

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

Offset: 1

Author

Antti Karttunen, Jun 02 2003

Keywords

• nonn

Comments

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

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.

References

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

Links

• A. Karttunen, Scheme-program for counting this sequence
• Index entries for sequences related to juggling

Crossrefs

First differences of A084528. Cf. A084509, A084519.