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[casinoJim]

                        1
                       11
                       21
                    1211
                 111221
                 312211
              13112221

                next?

Casinojim

[reach]

Hey CJ, I got the answer after staring at it for a while... I posted it but then thought, why spoil it for everybody.  But then again, if you don't have it figured out, the answer wouldn't make much sense anyway...

[DragonSpeed]

Ah, from "The Cukoo's Egg".

So given, you've figured out the answer to that....when does a 4 show in the "series"? 

[reach]

The Cuckoo's Egg?

Did a few more by hand but quickly realized that was going nowhere, so...

perl -e '@a = (1); $s = 1; do { print "$s: ", @a, "\n"; @b = (); do { $d = shift @a; $c = 1; while ($a[0] == $d) { shift @a; $c++ }; push @b, $c, $d; } while $#a >= 0; $s++; @a = @b; } while 1;'

Still waiting for the answer to the question about the 4.  Apparently a) a Sun E450 isn't very fast, and b) it's quite a while. 

Edit:  Darned trick questions...

[DragonSpeed]

The Cuckoo's Egg?

The Cuckoo's Egg

Edit:  Darned trick questions...

It's all about the abstract math 

[casinoJim]

ok I will give you 1 more line...

1113213211

next?

CJ.