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.

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, 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, 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

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..105.

A. Karttunen, Scheme-program for computing this sequence

Index entries for sequences related to juggling

Example

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.

Crossrefs

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

Sequence in context: A155746 A243111 A084511 * A214923 A174531 A021296

Adjacent sequences: A084518 A084519 A084520 * A084522 A084523 A084524

Keyword

nonn,tabf

Author

Antti Karttunen, Jun 02 2003

Status

approved