siteswap sequence puzzle

[superslacker]

Hi All,

I made this puzzle out of juggling notation (siteswap). I'm curious
how to present it so figured rec.puzzles would be a good place to get
some feedback. Is it too easy? Too hard? Should I give more siteswaps
for the series? I was thinking to fill out the next line of the
sequence every day until someone gets the answer. This type of puzzle
seems neat because if someone solves it then it's still not clear what
the answer is. That person just fills in the next line of the
sequence.

here it is:
_________________________________________

siteswap is a notation for juggling.
these three numbers are valid siteswaps.
what siteswap will come next in this sequence?

423531441
692973126
825799941

every day I'll add another siteswap to the sequence until it's solved.

___________________________________________

cheers,

Daniel

[Ed Murphy]

Given nine labeled elements (say ABCDEFGHI), the Nth digit of a number
appears to mean "move the element at position N+D (wrapping around as
needed) to position N". A valid siteswap is one that leaves each
element in a different position. (If the rule was "N-D", then 423531441
would be invalid.)

Less obvious is why these particular siteswaps form a sequence. If we
start with ABCDEFGHI and apply each one in turn, then we get

423531441 -> EDFIHGBCA
692973126 -> BDHIFACEG
825799941 -> GIEDFACHB

[superslacker]

Ed,

I like the siteswap definition and the transition from letters to
numbers is interesting. I almost didn't get it. I assume D stands for
distance.

I've added the next siteswap to the series

What siteswap will come next?

423531441
692973126
825799941
999911799

[superslacker]

423531441
692973126
825799941
999911799
111418911

[superslacker]

112939911