1.R=9
2.x(0)=R^R
3.x(0+0)=x(0)^x(0)
4.x(0+0+0)=x(0+0)^x(0+0)
5.x(0(1))=x(0+0+...+0),x(0)个0
6.x(0(1)+0)=x(0(1))^x(0(1))
7.x(0(1)+0(1))=x(0(1)+0+0+...+0),x(0(1))个0
8.x(0(1(0(1))))=x(0(1)+...+0(1)),x(0(1))个0(1)
9.x(0(1(1)))=x(0(1(0(1(...))))),x(0(1))层0(1)括号
10.x(0(1(1(1))))=x(0(1(1(0(1(1(...)))))))
11.x(0(1(2)))=x(0(1(1(1(1(...)))))
12.x(0(1(2(1))))=x(0(1(2(0(1(2(...))))))
13.x(0(1(2(2))))=x(0(1(2(1(1(1(...))))))
14.x(0(1(2(1(2(...)))))=x(0(1(2(2))))
15.x(0(1(2(3))))=x(0(1(2(2(2(...)))))
16.x(0(1(2(3(4)))))=x(0(1(2(3(3(3(...))))))
17.x(0(2))=x(0(1(2(3(4(5(6(...)))))))
18.x(0(3))=x(0(2(3(4(5(6(7(8(9(...)))))))))
19.x(0(4))=x(0(3(4(5(6(7(8(9(10(11(...))))))))))
20.x(0(0(1)))=x(0(x(0(4))))
21.x(0(0(2))) = x(0(0(1…))) (x(0(0(1)))层x(0(0(1)))括号)
22.x(0(0(3))) = x(0(0(2…))) ( x(0(0(2)))层x(0(0(2)))括号)
23.x(0(0(0(1))))=x(0(0(x(0(0(3))))))
24.x(0(0(0(2))))=x(0(0(0(1…)))) (x(0(0(0(1))))层x(0(0(0(1))))括号)
25.x(0(0(0(3))))=x(0(0(0(2…)))) (x(0(0(0(2))))层x(0(0(0(2))))括号)
26.x(0(0(0(0(1)))))=x(0(0(0(3…)))) (x(0(0(0(3))))层x(0(0(0(3))))括号)
27. x(1) =x(0(0(…))) ( x(0(0(0(0(x(0(0(0(3)))) )))))个0，最里面是x(0(0(0(0(x(0(0(0(3))))))))))
28.x(2)= x(x(…)) (x(1)个x，最里面是1)
29.x(3)= x(x(…)) (x(2)个x，最里面是2)
30.x(x(3))=…
31.x(x)=x(x(3))
32.x(x(1))= x(x(…)) (x(x)层x(x)括号)
33.x(x(2))=…
34.x(x(3))=…
…
35.x(0(4)) =x(x(x(x(3))))
36. x(x(0(4)))= x(0(……)) (x(0(4))个x(0(4))括号 )
37.x(0[lbk]4[rbk]) = x(x(0(4)))
38.x(0[lbk]4[lbk]4[rbk][rbk]) = x(x(0[lbk]4[rbk]))
39.x(0[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk]) = x(x(0[lbk]4[lbk]4[rbk][rbk]))
40.x(0[lbk]4[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk][rbk]) = x(x(0[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk]))
41.x(x)=x(0[lbk]…[rbk]) ( x(0[lbk]4[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk][rbk])个[lbk]4[rbk] )
…
42.x(0[lbk]4^n[rbk]) = x(x(0[lbk]4^{n-1}[rbk])) (n等于x(x) )
…
(以此类推，一共x(0[lbk]4^n[rbk])种括号)
…
43.x(x)=y，y为上面所有出现过的数字的x(0[lbk]4^n[rbk])次方总和
a. b=c (a=x(x))
…
p. q= b*a (p=b*a*c)
…
q. u=p*p*p (q=p*p)
…
u. q=u (u=q )
w. g= “q=u*q“(w=…)
w+1. g+1 (g+1=第“g的后继数”个公式所得到的新值)
w+2. g+2
w+3. g+3
…
w+w.g+g
w+g.g+w
w*g.g*w
…
w*w*w.w*w*w.w*w*w
…
以此类推出多层嵌套公式:
w+w+(…) . w+w+(…) . w+w+(…)…
…
a=w+w+(…) . w+w+(…) . w+w+(…)…
(每个点号分隔符两边都有w个w，同时有w个点号分隔符)
…
w=a…a(a个.点号分隔符且有a个a，并且有a*a种排列组合方式)
2.x(0)=R^R
3.x(0+0)=x(0)^x(0)
4.x(0+0+0)=x(0+0)^x(0+0)
5.x(0(1))=x(0+0+...+0),x(0)个0
6.x(0(1)+0)=x(0(1))^x(0(1))
7.x(0(1)+0(1))=x(0(1)+0+0+...+0),x(0(1))个0
8.x(0(1(0(1))))=x(0(1)+...+0(1)),x(0(1))个0(1)
9.x(0(1(1)))=x(0(1(0(1(...))))),x(0(1))层0(1)括号
10.x(0(1(1(1))))=x(0(1(1(0(1(1(...)))))))
11.x(0(1(2)))=x(0(1(1(1(1(...)))))
12.x(0(1(2(1))))=x(0(1(2(0(1(2(...))))))
13.x(0(1(2(2))))=x(0(1(2(1(1(1(...))))))
14.x(0(1(2(1(2(...)))))=x(0(1(2(2))))
15.x(0(1(2(3))))=x(0(1(2(2(2(...)))))
16.x(0(1(2(3(4)))))=x(0(1(2(3(3(3(...))))))
17.x(0(2))=x(0(1(2(3(4(5(6(...)))))))
18.x(0(3))=x(0(2(3(4(5(6(7(8(9(...)))))))))
19.x(0(4))=x(0(3(4(5(6(7(8(9(10(11(...))))))))))
20.x(0(0(1)))=x(0(x(0(4))))
21.x(0(0(2))) = x(0(0(1…))) (x(0(0(1)))层x(0(0(1)))括号)
22.x(0(0(3))) = x(0(0(2…))) ( x(0(0(2)))层x(0(0(2)))括号)
23.x(0(0(0(1))))=x(0(0(x(0(0(3))))))
24.x(0(0(0(2))))=x(0(0(0(1…)))) (x(0(0(0(1))))层x(0(0(0(1))))括号)
25.x(0(0(0(3))))=x(0(0(0(2…)))) (x(0(0(0(2))))层x(0(0(0(2))))括号)
26.x(0(0(0(0(1)))))=x(0(0(0(3…)))) (x(0(0(0(3))))层x(0(0(0(3))))括号)
27. x(1) =x(0(0(…))) ( x(0(0(0(0(x(0(0(0(3)))) )))))个0，最里面是x(0(0(0(0(x(0(0(0(3))))))))))
28.x(2)= x(x(…)) (x(1)个x，最里面是1)
29.x(3)= x(x(…)) (x(2)个x，最里面是2)
30.x(x(3))=…
31.x(x)=x(x(3))
32.x(x(1))= x(x(…)) (x(x)层x(x)括号)
33.x(x(2))=…
34.x(x(3))=…
…
35.x(0(4)) =x(x(x(x(3))))
36. x(x(0(4)))= x(0(……)) (x(0(4))个x(0(4))括号 )
37.x(0[lbk]4[rbk]) = x(x(0(4)))
38.x(0[lbk]4[lbk]4[rbk][rbk]) = x(x(0[lbk]4[rbk]))
39.x(0[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk]) = x(x(0[lbk]4[lbk]4[rbk][rbk]))
40.x(0[lbk]4[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk][rbk]) = x(x(0[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk]))
41.x(x)=x(0[lbk]…[rbk]) ( x(0[lbk]4[lbk]4[lbk]4[lbk]4[rbk][rbk][rbk][rbk])个[lbk]4[rbk] )
…
42.x(0[lbk]4^n[rbk]) = x(x(0[lbk]4^{n-1}[rbk])) (n等于x(x) )
…
(以此类推，一共x(0[lbk]4^n[rbk])种括号)
…
43.x(x)=y，y为上面所有出现过的数字的x(0[lbk]4^n[rbk])次方总和
a. b=c (a=x(x))
…
p. q= b*a (p=b*a*c)
…
q. u=p*p*p (q=p*p)
…
u. q=u (u=q )
w. g= “q=u*q“(w=…)
w+1. g+1 (g+1=第“g的后继数”个公式所得到的新值)
w+2. g+2
w+3. g+3
…
w+w.g+g
w+g.g+w
w*g.g*w
…
w*w*w.w*w*w.w*w*w
…
以此类推出多层嵌套公式:
w+w+(…) . w+w+(…) . w+w+(…)…
…
a=w+w+(…) . w+w+(…) . w+w+(…)…
(每个点号分隔符两边都有w个w，同时有w个点号分隔符)
…
w=a…a(a个.点号分隔符且有a个a，并且有a*a种排列组合方式)
