(0) = 1
(0,0) = w
(0,0,0) = w+1
(0,0,0,0) = w2+1
(0,0,0,0,0) = w3+2
(0~n) = wn+(n-1)
(1) = (0~w) = w2+w
(0~w+1) = w2+w+1
(0~w+2) = w2+w+3
(0~w+3) = w2+w+5
(0~w2) = w2+w4
(0~w2) = w22
(1,0) = (0~(1)) = (0~w2+w) = w23+w
(0~w22) = w24
(0~w23) = w26
(1,0,0) = (0~(1,0)) = w27+w
(1,0,0,0) = w215+w
/(1,0~n) = w2n2-1+w
(1,1) = w4+w2
(1,1,0) = w4+w22+w
(1,1,0~n) = w4+w2n2-1
(1~n)= w2n+w2n-2 . . . w4+w2
(2) = (1~w) = ww2+1+w
(1~w+1) = ww2+3+w
(1~w+2) = ww2+5+w2+w
(1~w2) = ww3+1+w
(1~w2+1) = ww3+3+w
(1~w3) = ww4+1+w
(1~w2) = w(w^2)+1+w
(2,1) = w(w^2)+1+ww2+1+w
(1~w22) = w(w^2)2+2+w2
(1~w24) = w(w^2)2+4+w4
(1~w3) = w(w^3)+w+w2
(1~w4) = w(w^3)+w+w3
W.I.P (Might fix using ordinal calculator)