User blog comment:B1mb0w/Fundamental Sequences/@comment-26428969-20151104162536/@comment-1605058-20151107082238

Of course there can be a ruleset which we can agree on. The only problem is that, to my knowledge, there isn't any such ruleset devised yet.

In my humble opinion, $$c=0$$ would be the most natural choice. I don't care how small $$\zeta_0[2]$$ turns out to be. I would be fine even if these rules gave $$\zeta_0[2]=2$$, as long as $$\zeta_0[n]$$ ultimately gets us to $$\zeta_0$$.