SetDirectory["C:\\drorbn\\AcademicPensieve\\Projects\\SL2Invariant"];
<< SL2Invariant.m

Kink[0,$k_]=(Subscript[𝔼[0,0,1], $k]);
Kink[n_,$k_]/;n≠0 := Kink[n,$k]=If[n>0,
(Kink[n-1,$k](Subscript[Kink, 2,$k]))~(Subscript[B, 1,2])~(Subscript[dm, 1,2->1]),
(Kink[n+1,$k](Subscript[(OverBar[Kink]), 2,$k]))~(Subscript[B, 1,2])~(Subscript[dm, 1,2->1])]
Kink[n_]:=Kink[n,$k]

Kink[1]

Kink[3]

Kink[7]

Kink[-3]

Table[Kink[n,1], {n,0,5}] // Column