2
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.2
<,1,<
^0^.0^0.^
>1>1>1>,1>1>1>1,>
v2v2v2v2v2v2v2v.2v2v2v2v2v2v2v2.v
<1<1<1<1<1<1<1<1<1<1<1<1<1<1<1<,1<1<1<1<1<1<1<1<1<1<1<1<1<1<1<1,<

What comes next in this sequence?

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5
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I think:

^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^.0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0^0.^

Since:

The arrow turns clockwise, the numbers go 2101 2101 2101 ... (I think) and the dots/commas are at positions of $2^{\text{line number}-1}$ and twice that and alternate between lines. Then we have two iterations + 1 more character.

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  • $\begingroup$ Guvf vf tbbq. Gur ahzoref tb 0,1,0,1,2,1, gura onpx gb 0. "<" naq "i" zrna tb onpx be tb qbja n ahzore, gura "^" naq ">" zrna tb sbejneq be hc n ahzore, fb 0f vafgrnq bs 2f. rot13 $\endgroup$ – user39732 Aug 29 '17 at 2:46
  • $\begingroup$ @uwnojpjm Ohg va yvar 1, gur neebjf jbhyq cbvag qbja. Fubhyqa'g yvar 2 unir -1 vafgrnq bs 1? $\endgroup$ – benzene Aug 29 '17 at 3:04
  • $\begingroup$ @benzene, ohg gur svefg yvar unf gb unir bar punenpgre. Vg zvtug or orggre gb fgneg ng 1? $\endgroup$ – user39732 Aug 29 '17 at 3:33
  • $\begingroup$ @benzene, edit it how you think, and I'll accept your edit. $\endgroup$ – user39732 Aug 29 '17 at 3:34
  • $\begingroup$ @uwnojpjm is this good? $\endgroup$ – boboquack Aug 29 '17 at 4:46

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