User:Googleaarex/Dollar Function FGH: 2-entry Linear Arrays

Let start with [0,[0]].

[0,[0]] has cardinal I_w

0],1[0 has cardinal psi_{I_{w+1}}(0)

[0,[0][0]] has cardinal psi_{I_{w*2}}(0)

[0,[1]] has cardinal psi_{I_{w^2}}(0)

[0,0 ] has cardinal psi_{I_{w^w}}(0)

[0,0],1 has cardinal psi_{I_{psi_I(0)}}(0)

[0,[0,[0]]] has cardinal psi_{I_{I_w}}(0)

[0,[0,1]2] has cardinal psi_{I(1,0)}(0)

[0,[1,1]2] has cardinal psi_{I(1,w)}(0)

[0,[[[0],1],1]2] has cardinal psi_{I(1,psi_I(0))}(0)

[0,[[0,[0,1]2],1]2] has cardinal psi_{I(1,I(1,0))}(0)

[0,[[0,1]2,1]2] has cardinal psi_{I(2,0)}(0)

[0,[[1,1]2,1]2] has cardinal psi_{I(w,0)}(0)

[0,[[[0,1]2,1]2,1]2] has cardinal psi_{I(1,0,0)}(0)

[0,[[0,1]3,1]2] has cardinal psi_{chi(e(M+1))}(0)

[0,[[1,1]3,1]2] has cardinal psi_{chi(e(M+w))}(0)

[0,[[[0,1]2,1]3,1]2] has cardinal psi_{chi(e(M*2))}(0)

[0,[[[0,1]3,1]3,1]2] has cardinal psi_{chi(W_{M+1})}(0)

[0,[[[0,1][0],1]2] has cardinal psi_{chi(W_{M+w})}(0)

[0,[[0],2]2] has cardinal psi_{chi(I_{M+1})}(0)

[0,[0,[0]]2] has cardinal psi_{chi(I_{M+w})}(0)

[0,[0,[0,1]2]2] has cardinal psi_{chi(I_{M2})}(0)

[0,[0,1]3] has cardinal psi_{chi(I(1,M+1))}(0)

[0,[[0,1]3,1]3] has cardinal psi_{chi(I(2,M+1))}(0)

[0,[[[0,1]3,1]3,1]3] has cardinal psi_{chi(M_2)}(0)

[0,[0,1]4] has cardinal psi_{chi(I(1,M_2+1))}(0)

[0,[0,1][0]] has cardinal psi_{chi(M_w)}(0)

[0,[0,1][0,1] 2 ] has cardinal psi_{chi(M_M)}(0)

[0,[0,1][0,1] [0,1] 2 ] has cardinal psi_{chi(M_M_M)}(0)

Limit is [[0],0,1], which is level psi(psi_{chi(M(1,0))}(0)).