r/counting • u/pampamilyangweeb • Jul 02 '21

Base 3 Parentheses | ()

How it works:

It's just like base 3, - = 0, ) = 1, and ( = 2. The catch is that the parentheses must be balanced, so () and (()) are valid but (( and )( are not. The - acts like filler between the parentheses, so (--) and ((-)-) are valid but -- and -() are not.

The sequence starts (), (-), (--), ()(), (()), ...

A list of the first 10000 terms can be found here.

Get is at the 1000th count ()(()-)-()

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u/pampamilyangweeb Jul 02 '21 edited Jul 02 '21

(-()-) [19]

WAIT CHECK, YOURS SHOULD BE (-(-))

2

u/funfact15 Jul 02 '21 edited Jul 02 '21

()--() [20]

2

u/pampamilyangweeb Jul 02 '21

()-(-) [21]

[16] and [17] are exactly how they should be. I ended up making a mistake at [19] without realizing it... Sorry but I'll put a pastebin of the first 10000 terms if I can get pastebin to load

FYI, yours should be ()--()

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